diff --git a/tests/suites/test_suite_pk.data b/tests/suites/test_suite_pk.data
index 3414958..e310a59 100644
--- a/tests/suites/test_suite_pk.data
+++ b/tests/suites/test_suite_pk.data
@@ -1004,8 +1004,23 @@
 depends_on:MBEDTLS_RSA_C:MBEDTLS_GENPRIME
 pk_get_psa_attributes_opaque:PSA_KEY_TYPE_RSA_KEY_PAIR:MBEDTLS_RSA_GEN_KEY_MIN_BITS:PSA_KEY_USAGE_SIGN_MESSAGE | PSA_KEY_USAGE_DECRYPT:PSA_ALG_RSA_PKCS1V15_SIGN_RAW:PSA_KEY_USAGE_SIGN_MESSAGE:0:1:PSA_KEY_USAGE_SIGN_MESSAGE | PSA_KEY_USAGE_DECRYPT
 
+# For a PK_OPAQUE key with a key pair type output,
+# mbedtls_pk_import_into_psa() requires the key to be copyable or exportable.
+# Try all combinations of COPY/not, EXPORT/not.
 PSA attributes for pk: opaque RSA pair, SIGN|... & SIGN_MESSAGE
 depends_on:MBEDTLS_RSA_C:MBEDTLS_GENPRIME
+pk_get_psa_attributes_opaque:PSA_KEY_TYPE_RSA_KEY_PAIR:MBEDTLS_RSA_GEN_KEY_MIN_BITS:PSA_KEY_USAGE_SIGN_MESSAGE | PSA_KEY_USAGE_VERIFY_MESSAGE | PSA_KEY_USAGE_DECRYPT | PSA_KEY_USAGE_ENCRYPT:PSA_ALG_RSA_PKCS1V15_SIGN_RAW:PSA_KEY_USAGE_SIGN_MESSAGE:0:1:PSA_KEY_USAGE_SIGN_MESSAGE | PSA_KEY_USAGE_VERIFY_MESSAGE | PSA_KEY_USAGE_DECRYPT | PSA_KEY_USAGE_ENCRYPT
+
+PSA attributes for pk: opaque RSA pair, SIGN|EXPORT|... & SIGN_MESSAGE
+depends_on:MBEDTLS_RSA_C:MBEDTLS_GENPRIME
+pk_get_psa_attributes_opaque:PSA_KEY_TYPE_RSA_KEY_PAIR:MBEDTLS_RSA_GEN_KEY_MIN_BITS:PSA_KEY_USAGE_SIGN_MESSAGE | PSA_KEY_USAGE_VERIFY_MESSAGE | PSA_KEY_USAGE_EXPORT | PSA_KEY_USAGE_DECRYPT | PSA_KEY_USAGE_ENCRYPT:PSA_ALG_RSA_PKCS1V15_SIGN_RAW:PSA_KEY_USAGE_SIGN_MESSAGE:0:1:PSA_KEY_USAGE_SIGN_MESSAGE | PSA_KEY_USAGE_VERIFY_MESSAGE | PSA_KEY_USAGE_EXPORT | PSA_KEY_USAGE_DECRYPT | PSA_KEY_USAGE_ENCRYPT
+
+PSA attributes for pk: opaque RSA pair, SIGN|COPY|... & SIGN_MESSAGE
+depends_on:MBEDTLS_RSA_C:MBEDTLS_GENPRIME
+pk_get_psa_attributes_opaque:PSA_KEY_TYPE_RSA_KEY_PAIR:MBEDTLS_RSA_GEN_KEY_MIN_BITS:PSA_KEY_USAGE_SIGN_MESSAGE | PSA_KEY_USAGE_VERIFY_MESSAGE | PSA_KEY_USAGE_COPY | PSA_KEY_USAGE_DECRYPT | PSA_KEY_USAGE_ENCRYPT:PSA_ALG_RSA_PKCS1V15_SIGN_RAW:PSA_KEY_USAGE_SIGN_MESSAGE:0:1:PSA_KEY_USAGE_SIGN_MESSAGE | PSA_KEY_USAGE_VERIFY_MESSAGE | PSA_KEY_USAGE_COPY | PSA_KEY_USAGE_DECRYPT | PSA_KEY_USAGE_ENCRYPT
+
+PSA attributes for pk: opaque RSA pair, SIGN|COPY|EXPORT... & SIGN_MESSAGE
+depends_on:MBEDTLS_RSA_C:MBEDTLS_GENPRIME
 pk_get_psa_attributes_opaque:PSA_KEY_TYPE_RSA_KEY_PAIR:MBEDTLS_RSA_GEN_KEY_MIN_BITS:PSA_KEY_USAGE_SIGN_MESSAGE | PSA_KEY_USAGE_VERIFY_MESSAGE | PSA_KEY_USAGE_EXPORT | PSA_KEY_USAGE_COPY | PSA_KEY_USAGE_DECRYPT | PSA_KEY_USAGE_ENCRYPT:PSA_ALG_RSA_PKCS1V15_SIGN_RAW:PSA_KEY_USAGE_SIGN_MESSAGE:0:1:PSA_KEY_USAGE_SIGN_MESSAGE | PSA_KEY_USAGE_VERIFY_MESSAGE | PSA_KEY_USAGE_EXPORT | PSA_KEY_USAGE_COPY | PSA_KEY_USAGE_DECRYPT | PSA_KEY_USAGE_ENCRYPT
 
 PSA attributes for pk: opaque RSA pair, SIGN_MESSAGE & SIGN_HASH (bad policy)
@@ -1109,3 +1124,173 @@
 PSA attributes for pk: opaque ECC pair->public, ENCRYPT & ENCRYPT (bad)
 depends_on:PSA_WANT_KEY_TYPE_ECC_KEY_PAIR_GENERATE:PSA_WANT_ECC_SECP_R1_256
 pk_get_psa_attributes_opaque:PSA_KEY_TYPE_ECC_KEY_PAIR(PSA_ECC_FAMILY_SECP_R1):256:PSA_KEY_USAGE_ENCRYPT:PSA_ALG_ECDSA_ANY:PSA_KEY_USAGE_ENCRYPT:MBEDTLS_ERR_PK_TYPE_MISMATCH:0:0
+
+PSA import into PSA: RSA pair to ECC (bad)
+depends_on:MBEDTLS_RSA_C:MBEDTLS_GENPRIME
+pk_import_into_psa_fail:MBEDTLS_PK_RSA:1:PSA_KEY_TYPE_ECC_KEY_PAIR(PSA_ECC_FAMILY_SECP_R1):MBEDTLS_ERR_PK_TYPE_MISMATCH
+
+PSA import into PSA: RSA public to RSA pair (bad)
+depends_on:MBEDTLS_RSA_C:MBEDTLS_GENPRIME
+pk_import_into_psa_fail:MBEDTLS_PK_RSA:0:PSA_KEY_TYPE_RSA_KEY_PAIR:MBEDTLS_ERR_RSA_BAD_INPUT_DATA
+
+PSA import into PSA: ECKEY pair to RSA (bad)
+depends_on:MBEDTLS_PK_HAVE_ECC_KEYS:MBEDTLS_TEST_PSA_ECC_AT_LEAST_ONE_CURVE
+pk_import_into_psa_fail:MBEDTLS_PK_ECKEY:1:PSA_KEY_TYPE_RSA_KEY_PAIR:MBEDTLS_ERR_PK_TYPE_MISMATCH
+
+PSA import into PSA: ECKEY_DH pair to RSA (bad)
+depends_on:MBEDTLS_PK_HAVE_ECC_KEYS:MBEDTLS_TEST_PSA_ECC_AT_LEAST_ONE_CURVE
+pk_import_into_psa_fail:MBEDTLS_PK_ECKEY_DH:1:PSA_KEY_TYPE_RSA_KEY_PAIR:MBEDTLS_ERR_PK_TYPE_MISMATCH
+
+PSA import into PSA: ECDSA pair to RSA (bad)
+depends_on:MBEDTLS_PK_HAVE_ECC_KEYS:MBEDTLS_TEST_PSA_ECC_AT_LEAST_ONE_CURVE:MBEDTLS_PK_CAN_ECDSA_SOME
+pk_import_into_psa_fail:MBEDTLS_PK_ECDSA:1:PSA_KEY_TYPE_RSA_KEY_PAIR:MBEDTLS_ERR_PK_TYPE_MISMATCH
+
+PSA import into PSA: ECKEY public to pair (bad)
+depends_on:MBEDTLS_PK_HAVE_ECC_KEYS:MBEDTLS_TEST_PSA_ECC_AT_LEAST_ONE_CURVE
+pk_import_into_psa_fail:MBEDTLS_PK_ECKEY:0:PSA_KEY_TYPE_ECC_KEY_PAIR(MBEDTLS_TEST_PSA_ECC_ONE_FAMILY):MBEDTLS_ERR_PK_TYPE_MISMATCH
+
+PSA import into PSA: ECKEY_DH public to pair (bad)
+depends_on:MBEDTLS_PK_HAVE_ECC_KEYS:MBEDTLS_TEST_PSA_ECC_AT_LEAST_ONE_CURVE
+pk_import_into_psa_fail:MBEDTLS_PK_ECKEY_DH:0:PSA_KEY_TYPE_ECC_KEY_PAIR(MBEDTLS_TEST_PSA_ECC_ONE_FAMILY):MBEDTLS_ERR_PK_TYPE_MISMATCH
+
+PSA import into PSA: ECDSA public to pair (bad)
+depends_on:MBEDTLS_PK_HAVE_ECC_KEYS:MBEDTLS_TEST_PSA_ECC_AT_LEAST_ONE_CURVE:MBEDTLS_PK_CAN_ECDSA_SOME
+pk_import_into_psa_fail:MBEDTLS_PK_ECDSA:0:PSA_KEY_TYPE_ECC_KEY_PAIR(MBEDTLS_TEST_PSA_ECC_ONE_FAMILY):MBEDTLS_ERR_PK_TYPE_MISMATCH
+
+PSA import into PSA: opaque RSA, COPY (ok)
+depends_on:PSA_WANT_KEY_TYPE_RSA_KEY_PAIR_GENERATE:PSA_WANT_ALG_RSA_PKCS1V15_SIGN
+pk_import_into_psa_opaque:PSA_KEY_TYPE_RSA_KEY_PAIR:MBEDTLS_RSA_GEN_KEY_MIN_BITS:PSA_KEY_USAGE_COPY | PSA_KEY_USAGE_SIGN_HASH | PSA_KEY_USAGE_SIGN_MESSAGE:PSA_ALG_RSA_PKCS1V15_SIGN_RAW:PSA_KEY_TYPE_RSA_KEY_PAIR:MBEDTLS_RSA_GEN_KEY_MIN_BITS:PSA_KEY_USAGE_COPY | PSA_KEY_USAGE_SIGN_HASH | PSA_KEY_USAGE_SIGN_MESSAGE:PSA_ALG_RSA_PKCS1V15_SIGN_RAW:0
+
+PSA import into PSA: opaque RSA, EXPORT (ok)
+depends_on:PSA_WANT_KEY_TYPE_RSA_KEY_PAIR_GENERATE:PSA_WANT_ALG_RSA_PKCS1V15_SIGN
+pk_import_into_psa_opaque:PSA_KEY_TYPE_RSA_KEY_PAIR:MBEDTLS_RSA_GEN_KEY_MIN_BITS:PSA_KEY_USAGE_EXPORT | PSA_KEY_USAGE_SIGN_HASH | PSA_KEY_USAGE_SIGN_MESSAGE:PSA_ALG_RSA_PKCS1V15_SIGN_RAW:PSA_KEY_TYPE_RSA_KEY_PAIR:MBEDTLS_RSA_GEN_KEY_MIN_BITS:PSA_KEY_USAGE_EXPORT | PSA_KEY_USAGE_SIGN_HASH | PSA_KEY_USAGE_SIGN_MESSAGE:PSA_ALG_RSA_PKCS1V15_SIGN_RAW:0
+
+PSA import into PSA: opaque RSA, no COPY/EXPORT (bad)
+depends_on:PSA_WANT_KEY_TYPE_RSA_KEY_PAIR_GENERATE:PSA_WANT_ALG_RSA_PKCS1V15_SIGN
+pk_import_into_psa_opaque:PSA_KEY_TYPE_RSA_KEY_PAIR:MBEDTLS_RSA_GEN_KEY_MIN_BITS:PSA_KEY_USAGE_SIGN_HASH | PSA_KEY_USAGE_SIGN_MESSAGE:PSA_ALG_RSA_PKCS1V15_SIGN_RAW:PSA_KEY_TYPE_RSA_KEY_PAIR:MBEDTLS_RSA_GEN_KEY_MIN_BITS:PSA_KEY_USAGE_COPY | PSA_KEY_USAGE_SIGN_HASH | PSA_KEY_USAGE_SIGN_MESSAGE:PSA_ALG_RSA_PKCS1V15_SIGN_RAW:MBEDTLS_ERR_PK_TYPE_MISMATCH
+
+# Detail that isn't precisely documented: since this copies the key,
+# the new key has the intersection of the usage flags.
+PSA import into PSA: opaque RSA, COPY|EXPORT, different usage (restricted)
+depends_on:PSA_WANT_KEY_TYPE_RSA_KEY_PAIR_GENERATE:PSA_WANT_ALG_RSA_PKCS1V15_SIGN
+pk_import_into_psa_opaque:PSA_KEY_TYPE_RSA_KEY_PAIR:MBEDTLS_RSA_GEN_KEY_MIN_BITS:PSA_KEY_USAGE_COPY | PSA_KEY_USAGE_EXPORT | PSA_KEY_USAGE_SIGN_MESSAGE:PSA_ALG_RSA_PKCS1V15_SIGN_RAW:PSA_KEY_TYPE_RSA_KEY_PAIR:MBEDTLS_RSA_GEN_KEY_MIN_BITS:PSA_KEY_USAGE_COPY | PSA_KEY_USAGE_SIGN_MESSAGE:PSA_ALG_RSA_PKCS1V15_SIGN_RAW:0
+
+# Detail that isn't precisely documented: since this copies the key,
+# the new key has the intersection of the usage flags.
+PSA import into PSA: opaque RSA, COPY, different usage (restricted)
+depends_on:PSA_WANT_KEY_TYPE_RSA_KEY_PAIR_GENERATE:PSA_WANT_ALG_RSA_PKCS1V15_SIGN
+pk_import_into_psa_opaque:PSA_KEY_TYPE_RSA_KEY_PAIR:MBEDTLS_RSA_GEN_KEY_MIN_BITS:PSA_KEY_USAGE_COPY | PSA_KEY_USAGE_SIGN_MESSAGE:PSA_ALG_RSA_PKCS1V15_SIGN_RAW:PSA_KEY_TYPE_RSA_KEY_PAIR:MBEDTLS_RSA_GEN_KEY_MIN_BITS:PSA_KEY_USAGE_COPY | PSA_KEY_USAGE_SIGN_MESSAGE:PSA_ALG_RSA_PKCS1V15_SIGN_RAW:0
+
+# Detail that isn't precisely documented: since this exports the key,
+# the new key has all the requested usage flags.
+PSA import into PSA: opaque RSA, EXPORT, different usage (ok)
+depends_on:PSA_WANT_KEY_TYPE_RSA_KEY_PAIR_GENERATE:PSA_WANT_ALG_RSA_PKCS1V15_SIGN
+pk_import_into_psa_opaque:PSA_KEY_TYPE_RSA_KEY_PAIR:MBEDTLS_RSA_GEN_KEY_MIN_BITS:PSA_KEY_USAGE_EXPORT | PSA_KEY_USAGE_SIGN_MESSAGE:PSA_ALG_RSA_PKCS1V15_SIGN_RAW:PSA_KEY_TYPE_RSA_KEY_PAIR:MBEDTLS_RSA_GEN_KEY_MIN_BITS:PSA_KEY_USAGE_EXPORT | PSA_KEY_USAGE_SIGN_HASH | PSA_KEY_USAGE_SIGN_MESSAGE:PSA_ALG_RSA_PKCS1V15_SIGN_RAW:0
+
+PSA import into PSA: opaque RSA, COPY|EXPORT, different algorithm (ok)
+depends_on:PSA_WANT_KEY_TYPE_RSA_KEY_PAIR_GENERATE:PSA_WANT_ALG_RSA_PKCS1V15_SIGN
+pk_import_into_psa_opaque:PSA_KEY_TYPE_RSA_KEY_PAIR:MBEDTLS_RSA_GEN_KEY_MIN_BITS:PSA_KEY_USAGE_COPY | PSA_KEY_USAGE_EXPORT | PSA_KEY_USAGE_SIGN_HASH | PSA_KEY_USAGE_SIGN_MESSAGE:PSA_ALG_RSA_PKCS1V15_SIGN_RAW:PSA_KEY_TYPE_RSA_KEY_PAIR:MBEDTLS_RSA_GEN_KEY_MIN_BITS:PSA_KEY_USAGE_COPY | PSA_KEY_USAGE_EXPORT | PSA_KEY_USAGE_SIGN_HASH | PSA_KEY_USAGE_SIGN_MESSAGE:PSA_ALG_RSA_PKCS1V15_SIGN(PSA_ALG_SHA_256):0
+
+PSA import into PSA: opaque RSA, COPY, different algorithm (bad)
+depends_on:PSA_WANT_KEY_TYPE_RSA_KEY_PAIR_GENERATE:PSA_WANT_ALG_RSA_PKCS1V15_SIGN
+pk_import_into_psa_opaque:PSA_KEY_TYPE_RSA_KEY_PAIR:MBEDTLS_RSA_GEN_KEY_MIN_BITS:PSA_KEY_USAGE_COPY | PSA_KEY_USAGE_SIGN_HASH | PSA_KEY_USAGE_SIGN_MESSAGE:PSA_ALG_RSA_PKCS1V15_SIGN_RAW:PSA_KEY_TYPE_RSA_KEY_PAIR:MBEDTLS_RSA_GEN_KEY_MIN_BITS:PSA_KEY_USAGE_COPY | PSA_KEY_USAGE_SIGN_MESSAGE:PSA_ALG_RSA_PKCS1V15_SIGN(PSA_ALG_SHA_256):MBEDTLS_ERR_PK_TYPE_MISMATCH
+
+PSA import into PSA: opaque RSA, EXPORT, different algorithm (ok)
+depends_on:PSA_WANT_KEY_TYPE_RSA_KEY_PAIR_GENERATE:PSA_WANT_ALG_RSA_PKCS1V15_SIGN
+pk_import_into_psa_opaque:PSA_KEY_TYPE_RSA_KEY_PAIR:MBEDTLS_RSA_GEN_KEY_MIN_BITS:PSA_KEY_USAGE_EXPORT | PSA_KEY_USAGE_SIGN_HASH | PSA_KEY_USAGE_SIGN_MESSAGE:PSA_ALG_RSA_PKCS1V15_SIGN_RAW:PSA_KEY_TYPE_RSA_KEY_PAIR:MBEDTLS_RSA_GEN_KEY_MIN_BITS:PSA_KEY_USAGE_EXPORT | PSA_KEY_USAGE_SIGN_HASH | PSA_KEY_USAGE_SIGN_MESSAGE:PSA_ALG_RSA_PKCS1V15_SIGN(PSA_ALG_SHA_256):0
+
+PSA import into PSA: opaque RSA, implicit bits (ok)
+depends_on:PSA_WANT_KEY_TYPE_RSA_KEY_PAIR_GENERATE:PSA_WANT_ALG_RSA_PKCS1V15_SIGN
+pk_import_into_psa_opaque:PSA_KEY_TYPE_RSA_KEY_PAIR:MBEDTLS_RSA_GEN_KEY_MIN_BITS:PSA_KEY_USAGE_COPY | PSA_KEY_USAGE_SIGN_HASH | PSA_KEY_USAGE_SIGN_MESSAGE:PSA_ALG_RSA_PKCS1V15_SIGN_RAW:PSA_KEY_TYPE_RSA_KEY_PAIR:0:PSA_KEY_USAGE_COPY | PSA_KEY_USAGE_SIGN_HASH | PSA_KEY_USAGE_SIGN_MESSAGE:PSA_ALG_RSA_PKCS1V15_SIGN_RAW:0
+
+PSA import into PSA: opaque RSA, different bits (bad)
+depends_on:PSA_WANT_KEY_TYPE_RSA_KEY_PAIR_GENERATE:PSA_WANT_ALG_RSA_PKCS1V15_SIGN
+pk_import_into_psa_opaque:PSA_KEY_TYPE_RSA_KEY_PAIR:MBEDTLS_RSA_GEN_KEY_MIN_BITS:PSA_KEY_USAGE_COPY | PSA_KEY_USAGE_SIGN_HASH | PSA_KEY_USAGE_SIGN_MESSAGE:PSA_ALG_RSA_PKCS1V15_SIGN_RAW:PSA_KEY_TYPE_RSA_KEY_PAIR:MBEDTLS_RSA_GEN_KEY_MIN_BITS + 8:PSA_KEY_USAGE_COPY | PSA_KEY_USAGE_SIGN_HASH | PSA_KEY_USAGE_SIGN_MESSAGE:PSA_ALG_RSA_PKCS1V15_SIGN_RAW:MBEDTLS_ERR_PK_TYPE_MISMATCH
+
+PSA import into PSA: opaque RSA, different type (bad)
+depends_on:PSA_WANT_KEY_TYPE_RSA_KEY_PAIR_GENERATE:PSA_WANT_ALG_RSA_PKCS1V15_SIGN
+pk_import_into_psa_opaque:PSA_KEY_TYPE_RSA_KEY_PAIR:MBEDTLS_RSA_GEN_KEY_MIN_BITS:PSA_KEY_USAGE_COPY | PSA_KEY_USAGE_SIGN_HASH | PSA_KEY_USAGE_SIGN_MESSAGE:0:PSA_KEY_TYPE_HMAC:MBEDTLS_RSA_GEN_KEY_MIN_BITS:PSA_KEY_USAGE_COPY | PSA_KEY_USAGE_SIGN_HASH | PSA_KEY_USAGE_SIGN_MESSAGE:0:MBEDTLS_ERR_PK_TYPE_MISMATCH
+
+PSA import into PSA: opaque RSA to public (ok)
+depends_on:PSA_WANT_KEY_TYPE_RSA_KEY_PAIR_GENERATE:PSA_WANT_ALG_RSA_PKCS1V15_SIGN
+pk_import_into_psa_opaque:PSA_KEY_TYPE_RSA_KEY_PAIR:MBEDTLS_RSA_GEN_KEY_MIN_BITS:PSA_KEY_USAGE_SIGN_HASH | PSA_KEY_USAGE_SIGN_MESSAGE:PSA_ALG_RSA_PKCS1V15_SIGN_RAW:PSA_KEY_TYPE_RSA_PUBLIC_KEY:MBEDTLS_RSA_GEN_KEY_MIN_BITS:PSA_KEY_USAGE_VERIFY_HASH | PSA_KEY_USAGE_VERIFY_MESSAGE:PSA_ALG_RSA_PKCS1V15_SIGN_RAW:0
+
+PSA import into PSA: opaque RSA to public, implicit bits (ok)
+depends_on:PSA_WANT_KEY_TYPE_RSA_KEY_PAIR_GENERATE:PSA_WANT_ALG_RSA_PKCS1V15_SIGN
+pk_import_into_psa_opaque:PSA_KEY_TYPE_RSA_KEY_PAIR:MBEDTLS_RSA_GEN_KEY_MIN_BITS:PSA_KEY_USAGE_SIGN_HASH | PSA_KEY_USAGE_SIGN_MESSAGE:PSA_ALG_RSA_PKCS1V15_SIGN_RAW:PSA_KEY_TYPE_RSA_PUBLIC_KEY:0:PSA_KEY_USAGE_VERIFY_HASH | PSA_KEY_USAGE_VERIFY_MESSAGE:PSA_ALG_RSA_PKCS1V15_SIGN_RAW:0
+
+# MBEDTLS_ERR_PK_INVALID_ALG is the error that results from our translation
+# of PSA errors. In this case MBEDTLS_ERR_PK_TYPE_MISMATCH would probably
+# be more appropriate.
+PSA import into PSA: opaque RSA to public, different bits (bad)
+depends_on:PSA_WANT_KEY_TYPE_RSA_KEY_PAIR_GENERATE:PSA_WANT_ALG_RSA_PKCS1V15_SIGN
+pk_import_into_psa_opaque:PSA_KEY_TYPE_RSA_KEY_PAIR:MBEDTLS_RSA_GEN_KEY_MIN_BITS:PSA_KEY_USAGE_SIGN_HASH | PSA_KEY_USAGE_SIGN_MESSAGE:PSA_ALG_RSA_PKCS1V15_SIGN_RAW:PSA_KEY_TYPE_RSA_PUBLIC_KEY:MBEDTLS_RSA_GEN_KEY_MIN_BITS + 8:PSA_KEY_USAGE_VERIFY_HASH | PSA_KEY_USAGE_VERIFY_MESSAGE:PSA_ALG_RSA_PKCS1V15_SIGN_RAW:MBEDTLS_ERR_PK_INVALID_ALG
+
+PSA import into PSA: opaque ECC, COPY (ok)
+depends_on:PSA_WANT_KEY_TYPE_ECC_KEY_PAIR_GENERATE:MBEDTLS_TEST_PSA_ECC_AT_LEAST_ONE_CURVE:PSA_WANT_ALG_ECDSA
+pk_import_into_psa_opaque:PSA_KEY_TYPE_ECC_KEY_PAIR(MBEDTLS_TEST_PSA_ECC_ONE_FAMILY):MBEDTLS_PSA_ECC_ONE_CURVE_BITS:PSA_KEY_USAGE_COPY | PSA_KEY_USAGE_SIGN_HASH | PSA_KEY_USAGE_SIGN_MESSAGE:PSA_ALG_ECDSA(PSA_ALG_ANY_HASH):PSA_KEY_TYPE_ECC_KEY_PAIR(MBEDTLS_TEST_PSA_ECC_ONE_FAMILY):MBEDTLS_PSA_ECC_ONE_CURVE_BITS:PSA_KEY_USAGE_COPY | PSA_KEY_USAGE_SIGN_HASH | PSA_KEY_USAGE_SIGN_MESSAGE:PSA_ALG_ECDSA(PSA_ALG_ANY_HASH):0
+
+PSA import into PSA: opaque ECC, EXPORT (ok)
+depends_on:PSA_WANT_KEY_TYPE_ECC_KEY_PAIR_GENERATE:MBEDTLS_TEST_PSA_ECC_AT_LEAST_ONE_CURVE:PSA_WANT_ALG_ECDSA
+pk_import_into_psa_opaque:PSA_KEY_TYPE_ECC_KEY_PAIR(MBEDTLS_TEST_PSA_ECC_ONE_FAMILY):MBEDTLS_PSA_ECC_ONE_CURVE_BITS:PSA_KEY_USAGE_EXPORT | PSA_KEY_USAGE_SIGN_HASH | PSA_KEY_USAGE_SIGN_MESSAGE:PSA_ALG_ECDSA(PSA_ALG_ANY_HASH):PSA_KEY_TYPE_ECC_KEY_PAIR(MBEDTLS_TEST_PSA_ECC_ONE_FAMILY):MBEDTLS_PSA_ECC_ONE_CURVE_BITS:PSA_KEY_USAGE_EXPORT | PSA_KEY_USAGE_SIGN_HASH | PSA_KEY_USAGE_SIGN_MESSAGE:PSA_ALG_ECDSA(PSA_ALG_ANY_HASH):0
+
+PSA import into PSA: opaque ECC, no COPY/EXPORT (bad)
+depends_on:PSA_WANT_KEY_TYPE_ECC_KEY_PAIR_GENERATE:MBEDTLS_TEST_PSA_ECC_AT_LEAST_ONE_CURVE:PSA_WANT_ALG_ECDSA
+pk_import_into_psa_opaque:PSA_KEY_TYPE_ECC_KEY_PAIR(MBEDTLS_TEST_PSA_ECC_ONE_FAMILY):MBEDTLS_PSA_ECC_ONE_CURVE_BITS:PSA_KEY_USAGE_SIGN_HASH | PSA_KEY_USAGE_SIGN_MESSAGE:PSA_ALG_ECDSA(PSA_ALG_ANY_HASH):PSA_KEY_TYPE_ECC_KEY_PAIR(MBEDTLS_TEST_PSA_ECC_ONE_FAMILY):MBEDTLS_PSA_ECC_ONE_CURVE_BITS:PSA_KEY_USAGE_COPY | PSA_KEY_USAGE_SIGN_HASH | PSA_KEY_USAGE_SIGN_MESSAGE:PSA_ALG_ECDSA(PSA_ALG_ANY_HASH):MBEDTLS_ERR_PK_TYPE_MISMATCH
+
+# Detail that isn't precisely documented: since this copies the key,
+# the new key has the intersection of the usage flags.
+PSA import into PSA: opaque ECC, COPY|EXPORT, different usage (restricted)
+depends_on:PSA_WANT_KEY_TYPE_ECC_KEY_PAIR_GENERATE:MBEDTLS_TEST_PSA_ECC_AT_LEAST_ONE_CURVE:PSA_WANT_ALG_ECDSA
+pk_import_into_psa_opaque:PSA_KEY_TYPE_ECC_KEY_PAIR(MBEDTLS_TEST_PSA_ECC_ONE_FAMILY):MBEDTLS_PSA_ECC_ONE_CURVE_BITS:PSA_KEY_USAGE_COPY | PSA_KEY_USAGE_EXPORT | PSA_KEY_USAGE_SIGN_MESSAGE:PSA_ALG_ECDSA(PSA_ALG_ANY_HASH):PSA_KEY_TYPE_ECC_KEY_PAIR(MBEDTLS_TEST_PSA_ECC_ONE_FAMILY):MBEDTLS_PSA_ECC_ONE_CURVE_BITS:PSA_KEY_USAGE_COPY | PSA_KEY_USAGE_SIGN_MESSAGE:PSA_ALG_ECDSA(PSA_ALG_ANY_HASH):0
+
+# Detail that isn't precisely documented: since this copies the key,
+# the new key has the intersection of the usage flags.
+PSA import into PSA: opaque ECC, COPY, different usage (restricted)
+depends_on:PSA_WANT_KEY_TYPE_ECC_KEY_PAIR_GENERATE:MBEDTLS_TEST_PSA_ECC_AT_LEAST_ONE_CURVE:PSA_WANT_ALG_ECDSA
+pk_import_into_psa_opaque:PSA_KEY_TYPE_ECC_KEY_PAIR(MBEDTLS_TEST_PSA_ECC_ONE_FAMILY):MBEDTLS_PSA_ECC_ONE_CURVE_BITS:PSA_KEY_USAGE_COPY | PSA_KEY_USAGE_SIGN_MESSAGE:PSA_ALG_ECDSA(PSA_ALG_ANY_HASH):PSA_KEY_TYPE_ECC_KEY_PAIR(MBEDTLS_TEST_PSA_ECC_ONE_FAMILY):MBEDTLS_PSA_ECC_ONE_CURVE_BITS:PSA_KEY_USAGE_COPY | PSA_KEY_USAGE_SIGN_MESSAGE:PSA_ALG_ECDSA(PSA_ALG_ANY_HASH):0
+
+# Detail that isn't precisely documented: since this exports the key,
+# the new key has all the requested usage flags.
+PSA import into PSA: opaque ECC, EXPORT, different usage (ok)
+depends_on:PSA_WANT_KEY_TYPE_ECC_KEY_PAIR_GENERATE:MBEDTLS_TEST_PSA_ECC_AT_LEAST_ONE_CURVE:PSA_WANT_ALG_ECDSA
+pk_import_into_psa_opaque:PSA_KEY_TYPE_ECC_KEY_PAIR(MBEDTLS_TEST_PSA_ECC_ONE_FAMILY):MBEDTLS_PSA_ECC_ONE_CURVE_BITS:PSA_KEY_USAGE_EXPORT | PSA_KEY_USAGE_SIGN_MESSAGE:PSA_ALG_ECDSA(PSA_ALG_ANY_HASH):PSA_KEY_TYPE_ECC_KEY_PAIR(MBEDTLS_TEST_PSA_ECC_ONE_FAMILY):MBEDTLS_PSA_ECC_ONE_CURVE_BITS:PSA_KEY_USAGE_EXPORT | PSA_KEY_USAGE_SIGN_HASH | PSA_KEY_USAGE_SIGN_MESSAGE:PSA_ALG_ECDSA(PSA_ALG_ANY_HASH):0
+
+PSA import into PSA: opaque ECC, COPY|EXPORT, different algorithm (ok)
+depends_on:PSA_WANT_KEY_TYPE_ECC_KEY_PAIR_GENERATE:MBEDTLS_TEST_PSA_ECC_AT_LEAST_ONE_CURVE:PSA_WANT_ALG_ECDSA
+pk_import_into_psa_opaque:PSA_KEY_TYPE_ECC_KEY_PAIR(MBEDTLS_TEST_PSA_ECC_ONE_FAMILY):MBEDTLS_PSA_ECC_ONE_CURVE_BITS:PSA_KEY_USAGE_COPY | PSA_KEY_USAGE_EXPORT | PSA_KEY_USAGE_SIGN_HASH | PSA_KEY_USAGE_SIGN_MESSAGE:PSA_ALG_ECDSA(PSA_ALG_ANY_HASH):PSA_KEY_TYPE_ECC_KEY_PAIR(MBEDTLS_TEST_PSA_ECC_ONE_FAMILY):MBEDTLS_PSA_ECC_ONE_CURVE_BITS:PSA_KEY_USAGE_COPY | PSA_KEY_USAGE_EXPORT | PSA_KEY_USAGE_SIGN_HASH | PSA_KEY_USAGE_SIGN_MESSAGE:PSA_ALG_DETERMINISTIC_ECDSA(PSA_ALG_SHA_256):0
+
+PSA import into PSA: opaque ECC, COPY, different algorithm (bad)
+depends_on:PSA_WANT_KEY_TYPE_ECC_KEY_PAIR_GENERATE:MBEDTLS_TEST_PSA_ECC_AT_LEAST_ONE_CURVE:PSA_WANT_ALG_ECDSA
+pk_import_into_psa_opaque:PSA_KEY_TYPE_ECC_KEY_PAIR(MBEDTLS_TEST_PSA_ECC_ONE_FAMILY):MBEDTLS_PSA_ECC_ONE_CURVE_BITS:PSA_KEY_USAGE_COPY | PSA_KEY_USAGE_SIGN_HASH | PSA_KEY_USAGE_SIGN_MESSAGE:PSA_ALG_ECDSA(PSA_ALG_ANY_HASH):PSA_KEY_TYPE_ECC_KEY_PAIR(MBEDTLS_TEST_PSA_ECC_ONE_FAMILY):MBEDTLS_PSA_ECC_ONE_CURVE_BITS:PSA_KEY_USAGE_COPY | PSA_KEY_USAGE_SIGN_MESSAGE:PSA_ALG_DETERMINISTIC_ECDSA(PSA_ALG_SHA_256):MBEDTLS_ERR_PK_TYPE_MISMATCH
+
+PSA import into PSA: opaque ECC, EXPORT, different algorithm (ok)
+depends_on:PSA_WANT_KEY_TYPE_ECC_KEY_PAIR_GENERATE:MBEDTLS_TEST_PSA_ECC_AT_LEAST_ONE_CURVE:PSA_WANT_ALG_ECDSA
+pk_import_into_psa_opaque:PSA_KEY_TYPE_ECC_KEY_PAIR(MBEDTLS_TEST_PSA_ECC_ONE_FAMILY):MBEDTLS_PSA_ECC_ONE_CURVE_BITS:PSA_KEY_USAGE_EXPORT | PSA_KEY_USAGE_SIGN_HASH | PSA_KEY_USAGE_SIGN_MESSAGE:PSA_ALG_ECDSA(PSA_ALG_ANY_HASH):PSA_KEY_TYPE_ECC_KEY_PAIR(MBEDTLS_TEST_PSA_ECC_ONE_FAMILY):MBEDTLS_PSA_ECC_ONE_CURVE_BITS:PSA_KEY_USAGE_EXPORT | PSA_KEY_USAGE_SIGN_HASH | PSA_KEY_USAGE_SIGN_MESSAGE:PSA_ALG_DETERMINISTIC_ECDSA(PSA_ALG_SHA_256):0
+
+PSA import into PSA: opaque ECC, implicit bits (ok)
+depends_on:PSA_WANT_KEY_TYPE_ECC_KEY_PAIR_GENERATE:MBEDTLS_TEST_PSA_ECC_AT_LEAST_ONE_CURVE:PSA_WANT_ALG_ECDSA
+pk_import_into_psa_opaque:PSA_KEY_TYPE_ECC_KEY_PAIR(MBEDTLS_TEST_PSA_ECC_ONE_FAMILY):MBEDTLS_PSA_ECC_ONE_CURVE_BITS:PSA_KEY_USAGE_COPY | PSA_KEY_USAGE_SIGN_HASH | PSA_KEY_USAGE_SIGN_MESSAGE:PSA_ALG_ECDSA(PSA_ALG_ANY_HASH):PSA_KEY_TYPE_ECC_KEY_PAIR(MBEDTLS_TEST_PSA_ECC_ONE_FAMILY):0:PSA_KEY_USAGE_COPY | PSA_KEY_USAGE_SIGN_HASH | PSA_KEY_USAGE_SIGN_MESSAGE:PSA_ALG_ECDSA(PSA_ALG_ANY_HASH):0
+
+PSA import into PSA: opaque ECC, different bits (bad)
+depends_on:PSA_WANT_KEY_TYPE_ECC_KEY_PAIR_GENERATE:MBEDTLS_TEST_PSA_ECC_AT_LEAST_ONE_CURVE:PSA_WANT_ALG_ECDSA
+pk_import_into_psa_opaque:PSA_KEY_TYPE_ECC_KEY_PAIR(MBEDTLS_TEST_PSA_ECC_ONE_FAMILY):MBEDTLS_PSA_ECC_ONE_CURVE_BITS:PSA_KEY_USAGE_COPY | PSA_KEY_USAGE_SIGN_HASH | PSA_KEY_USAGE_SIGN_MESSAGE:PSA_ALG_ECDSA(PSA_ALG_ANY_HASH):PSA_KEY_TYPE_ECC_KEY_PAIR(MBEDTLS_TEST_PSA_ECC_ONE_FAMILY):MBEDTLS_PSA_ECC_ONE_CURVE_BITS + 8:PSA_KEY_USAGE_COPY | PSA_KEY_USAGE_SIGN_HASH | PSA_KEY_USAGE_SIGN_MESSAGE:PSA_ALG_ECDSA(PSA_ALG_ANY_HASH):MBEDTLS_ERR_PK_TYPE_MISMATCH
+
+PSA import into PSA: opaque ECC, different type (bad)
+depends_on:PSA_WANT_KEY_TYPE_ECC_KEY_PAIR_GENERATE:MBEDTLS_TEST_PSA_ECC_AT_LEAST_ONE_CURVE:PSA_WANT_ALG_ECDSA
+pk_import_into_psa_opaque:PSA_KEY_TYPE_ECC_KEY_PAIR(MBEDTLS_TEST_PSA_ECC_ONE_FAMILY):MBEDTLS_PSA_ECC_ONE_CURVE_BITS:PSA_KEY_USAGE_COPY | PSA_KEY_USAGE_SIGN_HASH | PSA_KEY_USAGE_SIGN_MESSAGE:0:PSA_KEY_TYPE_HMAC:MBEDTLS_PSA_ECC_ONE_CURVE_BITS:PSA_KEY_USAGE_COPY | PSA_KEY_USAGE_SIGN_HASH | PSA_KEY_USAGE_SIGN_MESSAGE:0:MBEDTLS_ERR_PK_TYPE_MISMATCH
+
+PSA import into PSA: opaque ECC to public (ok)
+depends_on:PSA_WANT_KEY_TYPE_ECC_KEY_PAIR_GENERATE:MBEDTLS_TEST_PSA_ECC_AT_LEAST_ONE_CURVE:PSA_WANT_ALG_ECDSA
+pk_import_into_psa_opaque:PSA_KEY_TYPE_ECC_KEY_PAIR(MBEDTLS_TEST_PSA_ECC_ONE_FAMILY):MBEDTLS_PSA_ECC_ONE_CURVE_BITS:PSA_KEY_USAGE_SIGN_HASH | PSA_KEY_USAGE_SIGN_MESSAGE:PSA_ALG_ECDSA(PSA_ALG_ANY_HASH):PSA_KEY_TYPE_ECC_PUBLIC_KEY(MBEDTLS_TEST_PSA_ECC_ONE_FAMILY):MBEDTLS_PSA_ECC_ONE_CURVE_BITS:PSA_KEY_USAGE_VERIFY_HASH | PSA_KEY_USAGE_VERIFY_MESSAGE:PSA_ALG_ECDSA(PSA_ALG_ANY_HASH):0
+
+PSA import into PSA: opaque ECC to public, implicit bits (ok)
+depends_on:PSA_WANT_KEY_TYPE_ECC_KEY_PAIR_GENERATE:MBEDTLS_TEST_PSA_ECC_AT_LEAST_ONE_CURVE:PSA_WANT_ALG_ECDSA
+pk_import_into_psa_opaque:PSA_KEY_TYPE_ECC_KEY_PAIR(MBEDTLS_TEST_PSA_ECC_ONE_FAMILY):MBEDTLS_PSA_ECC_ONE_CURVE_BITS:PSA_KEY_USAGE_SIGN_HASH | PSA_KEY_USAGE_SIGN_MESSAGE:PSA_ALG_ECDSA(PSA_ALG_ANY_HASH):PSA_KEY_TYPE_ECC_PUBLIC_KEY(MBEDTLS_TEST_PSA_ECC_ONE_FAMILY):0:PSA_KEY_USAGE_VERIFY_HASH | PSA_KEY_USAGE_VERIFY_MESSAGE:PSA_ALG_ECDSA(PSA_ALG_ANY_HASH):0
+
+# MBEDTLS_ERR_PK_INVALID_ALG is the error that results from our translation
+# of PSA errors. In this case MBEDTLS_ERR_PK_TYPE_MISMATCH would probably
+# be more appropriate.
+PSA import into PSA: opaque ECC to public, different bits (bad)
+depends_on:PSA_WANT_KEY_TYPE_ECC_KEY_PAIR_GENERATE:MBEDTLS_TEST_PSA_ECC_AT_LEAST_ONE_CURVE:PSA_WANT_ALG_ECDSA
+pk_import_into_psa_opaque:PSA_KEY_TYPE_ECC_KEY_PAIR(MBEDTLS_TEST_PSA_ECC_ONE_FAMILY):MBEDTLS_PSA_ECC_ONE_CURVE_BITS:PSA_KEY_USAGE_SIGN_HASH | PSA_KEY_USAGE_SIGN_MESSAGE:PSA_ALG_ECDSA(PSA_ALG_ANY_HASH):PSA_KEY_TYPE_ECC_PUBLIC_KEY(MBEDTLS_TEST_PSA_ECC_ONE_FAMILY):MBEDTLS_PSA_ECC_ONE_CURVE_BITS + 8:PSA_KEY_USAGE_VERIFY_HASH | PSA_KEY_USAGE_VERIFY_MESSAGE:PSA_ALG_ECDSA(PSA_ALG_ANY_HASH):MBEDTLS_ERR_PK_INVALID_ALG
diff --git a/tests/suites/test_suite_pk.function b/tests/suites/test_suite_pk.function
index 9c088e1..b9841a9 100644
--- a/tests/suites/test_suite_pk.function
+++ b/tests/suites/test_suite_pk.function
@@ -131,14 +131,31 @@
 
     psa_set_key_type(&key_attr, PSA_KEY_TYPE_ECC_KEY_PAIR(curve));
     psa_set_key_bits(&key_attr, curve_bits);
-    psa_set_key_usage_flags(&key_attr, PSA_KEY_USAGE_EXPORT |
-                            PSA_KEY_USAGE_SIGN_HASH |
-                            PSA_KEY_USAGE_SIGN_MESSAGE);
+    psa_key_usage_t usage = PSA_KEY_USAGE_EXPORT | PSA_KEY_USAGE_COPY;
+    psa_algorithm_t sign_alg = 0;
+    psa_algorithm_t derive_alg = 0;
+    if (mbedtls_pk_get_type(pk) != MBEDTLS_PK_ECDSA) {
+        usage |= PSA_KEY_USAGE_DERIVE;
+        derive_alg = PSA_ALG_ECDH;
+    }
+    if (mbedtls_pk_get_type(pk) != MBEDTLS_PK_ECKEY_DH &&
+        curve != PSA_ECC_FAMILY_MONTGOMERY) {
+        usage |= PSA_KEY_USAGE_SIGN_HASH | PSA_KEY_USAGE_SIGN_MESSAGE;
 #if defined(MBEDTLS_ECDSA_DETERMINISTIC)
-    psa_set_key_algorithm(&key_attr, PSA_ALG_DETERMINISTIC_ECDSA(PSA_ALG_ANY_HASH));
+        sign_alg = PSA_ALG_DETERMINISTIC_ECDSA(PSA_ALG_ANY_HASH);
 #else
-    psa_set_key_algorithm(&key_attr, PSA_ALG_ECDSA(PSA_ALG_ANY_HASH));
+        sign_alg = PSA_ALG_ECDSA(PSA_ALG_ANY_HASH);
 #endif
+    }
+    if (derive_alg != 0) {
+        psa_set_key_algorithm(&key_attr, derive_alg);
+        if (sign_alg != 0) {
+            psa_set_key_enrollment_algorithm(&key_attr, sign_alg);
+        }
+    } else {
+        psa_set_key_algorithm(&key_attr, sign_alg);
+    }
+    psa_set_key_usage_flags(&key_attr, usage);
 
     status = psa_generate_key(&key_attr, &pk->priv_id);
     if (status != PSA_SUCCESS) {
@@ -1458,6 +1475,9 @@
                                              PSA_KEY_USAGE_ENCRYPT,
                                              &attributes),
                MBEDTLS_ERR_PK_FEATURE_UNAVAILABLE);
+    mbedtls_svc_key_id_t key_id = MBEDTLS_SVC_KEY_ID_INIT;
+    TEST_EQUAL(mbedtls_pk_import_into_psa(&alt, &attributes, &key_id),
+               MBEDTLS_ERR_PK_FEATURE_UNAVAILABLE);
 #endif /* MBEDTLS_PSA_CRYPTO_C */
 
     /* Test signature */
@@ -1776,6 +1796,7 @@
     mbedtls_pk_init(&pk);
     psa_key_attributes_t attributes = PSA_KEY_ATTRIBUTES_INIT;
     psa_key_usage_t usage = usage_arg;
+    mbedtls_svc_key_id_t new_key_id = MBEDTLS_SVC_KEY_ID_INIT;
 
     PSA_INIT();
 
@@ -1816,9 +1837,12 @@
     TEST_EQUAL(psa_get_key_algorithm(&attributes), expected_alg);
     TEST_EQUAL(psa_get_key_enrollment_algorithm(&attributes), PSA_ALG_NONE);
 
+    TEST_EQUAL(mbedtls_pk_import_into_psa(&pk, &attributes, &new_key_id), 0);
+
 exit:
     mbedtls_pk_free(&pk);
     psa_reset_key_attributes(&attributes);
+    psa_destroy_key(new_key_id);
     PSA_DONE();
 }
 /* END_CASE */
@@ -1832,6 +1856,7 @@
     mbedtls_pk_init(&pk);
     psa_key_usage_t usage = usage_arg;
     psa_key_attributes_t attributes = PSA_KEY_ATTRIBUTES_INIT;
+    mbedtls_svc_key_id_t new_key_id = MBEDTLS_SVC_KEY_ID_INIT;
 
     PSA_INIT();
 
@@ -1857,9 +1882,12 @@
     TEST_EQUAL(psa_get_key_algorithm(&attributes), expected_alg);
     TEST_EQUAL(psa_get_key_enrollment_algorithm(&attributes), PSA_ALG_NONE);
 
+    TEST_EQUAL(mbedtls_pk_import_into_psa(&pk, &attributes, &new_key_id), 0);
+
 exit:
     mbedtls_pk_free(&pk);
     psa_reset_key_attributes(&attributes);
+    psa_destroy_key(new_key_id);
     PSA_DONE();
 }
 /* END_CASE */
@@ -1900,13 +1928,14 @@
     mbedtls_pk_context pk;
     mbedtls_pk_init(&pk);
     psa_key_attributes_t attributes = PSA_KEY_ATTRIBUTES_INIT;
-    mbedtls_svc_key_id_t key_id = MBEDTLS_SVC_KEY_ID_INIT;
+    mbedtls_svc_key_id_t old_key_id = MBEDTLS_SVC_KEY_ID_INIT;
     psa_key_type_t from_type = from_type_arg;
     size_t bits = from_bits_arg;
     psa_key_usage_t from_usage = from_usage_arg;
     psa_algorithm_t alg = from_alg_arg;
     psa_key_usage_t usage = usage_arg;
     psa_key_usage_t expected_usage = expected_usage_arg;
+    mbedtls_svc_key_id_t new_key_id = MBEDTLS_SVC_KEY_ID_INIT;
 
     PSA_INIT();
 
@@ -1916,8 +1945,8 @@
     psa_set_key_algorithm(&attributes, alg);
     psa_set_key_enrollment_algorithm(&attributes, 42);
     //TODO: test with persistent key
-    PSA_ASSERT(psa_generate_key(&attributes, &key_id));
-    TEST_EQUAL(mbedtls_pk_setup_opaque(&pk, key_id), 0);
+    PSA_ASSERT(psa_generate_key(&attributes, &old_key_id));
+    TEST_EQUAL(mbedtls_pk_setup_opaque(&pk, old_key_id), 0);
 
     psa_key_type_t expected_psa_type =
         to_pair ? from_type : PSA_KEY_TYPE_PUBLIC_KEY_OF_KEY_PAIR(from_type);
@@ -1934,12 +1963,114 @@
         TEST_EQUAL(psa_get_key_usage_flags(&attributes), expected_usage);
         TEST_EQUAL(psa_get_key_algorithm(&attributes), alg);
         TEST_EQUAL(psa_get_key_enrollment_algorithm(&attributes), PSA_ALG_NONE);
+
+        int expected_import_ret = 0;
+        if (to_pair &&
+            !(from_usage & (PSA_KEY_USAGE_COPY | PSA_KEY_USAGE_EXPORT))) {
+            expected_import_ret = MBEDTLS_ERR_PK_TYPE_MISMATCH;
+        }
+        TEST_EQUAL(mbedtls_pk_import_into_psa(&pk, &attributes, &new_key_id),
+                   expected_import_ret);
     }
 
 exit:
     mbedtls_pk_free(&pk);
-    psa_destroy_key(key_id);
+    psa_destroy_key(old_key_id);
+    psa_destroy_key(new_key_id);
     psa_reset_key_attributes(&attributes);
     PSA_DONE();
 }
 /* END_CASE */
+
+/* BEGIN_CASE depends_on:MBEDTLS_PSA_CRYPTO_C */
+void pk_import_into_psa_fail(int pk_type, int from_pair,
+                             int type_arg,
+                             int expected_ret)
+{
+    mbedtls_pk_context pk;
+    mbedtls_pk_init(&pk);
+    psa_key_attributes_t attributes = PSA_KEY_ATTRIBUTES_INIT;
+    psa_key_type_t type = type_arg;
+    mbedtls_svc_key_id_t key_id = mbedtls_svc_key_id_make(0, 42);
+
+    PSA_INIT();
+
+    psa_key_type_t expected_psa_type;
+    TEST_EQUAL(pk_setup_for_type(pk_type, from_pair,
+                                 &pk, &expected_psa_type), 0);
+
+    psa_set_key_type(&attributes, type);
+
+    TEST_EQUAL(mbedtls_pk_import_into_psa(&pk, &attributes, &key_id),
+               expected_ret);
+    TEST_ASSERT(mbedtls_svc_key_id_equal(key_id, MBEDTLS_SVC_KEY_ID_INIT));
+
+exit:
+    psa_destroy_key(key_id);
+    mbedtls_pk_free(&pk);
+    psa_reset_key_attributes(&attributes);
+    PSA_DONE();
+}
+/* END_CASE */
+
+/* BEGIN_CASE depends_on:MBEDTLS_USE_PSA_CRYPTO */
+void pk_import_into_psa_opaque(int from_type, int from_bits,
+                               int from_usage, int from_alg,
+                               int to_type, int to_bits,
+                               int to_usage, int to_alg,
+                               int expected_ret)
+{
+    mbedtls_pk_context pk;
+    mbedtls_pk_init(&pk);
+    psa_key_attributes_t from_attributes = PSA_KEY_ATTRIBUTES_INIT;
+    mbedtls_svc_key_id_t from_key_id = MBEDTLS_SVC_KEY_ID_INIT;
+    psa_key_attributes_t to_attributes = PSA_KEY_ATTRIBUTES_INIT;
+    mbedtls_svc_key_id_t to_key_id = MBEDTLS_SVC_KEY_ID_INIT;
+    psa_key_attributes_t actual_attributes = PSA_KEY_ATTRIBUTES_INIT;
+
+    PSA_INIT();
+
+    psa_set_key_type(&from_attributes, from_type);
+    psa_set_key_bits(&from_attributes, from_bits);
+    psa_set_key_usage_flags(&from_attributes, from_usage);
+    psa_set_key_algorithm(&from_attributes, from_alg);
+    PSA_ASSERT(psa_generate_key(&from_attributes, &from_key_id));
+    TEST_EQUAL(mbedtls_pk_setup_opaque(&pk, from_key_id), 0);
+
+    psa_set_key_type(&to_attributes, to_type);
+    psa_set_key_bits(&to_attributes, to_bits);
+    psa_set_key_usage_flags(&to_attributes, to_usage);
+    psa_set_key_algorithm(&to_attributes, to_alg);
+
+    TEST_EQUAL(mbedtls_pk_import_into_psa(&pk, &to_attributes, &to_key_id),
+               expected_ret);
+
+    if (expected_ret == 0) {
+        PSA_ASSERT(psa_get_key_attributes(to_key_id, &actual_attributes));
+        TEST_EQUAL(to_type, psa_get_key_type(&actual_attributes));
+        if (to_bits != 0) {
+            TEST_EQUAL(to_bits, psa_get_key_bits(&actual_attributes));
+        }
+        TEST_EQUAL(to_alg, psa_get_key_algorithm(&actual_attributes));
+        psa_key_usage_t expected_usage = to_usage;
+        if (expected_usage & PSA_KEY_USAGE_SIGN_HASH) {
+            expected_usage |= PSA_KEY_USAGE_SIGN_MESSAGE;
+        }
+        if (expected_usage & PSA_KEY_USAGE_VERIFY_HASH) {
+            expected_usage |= PSA_KEY_USAGE_VERIFY_MESSAGE;
+        }
+        TEST_EQUAL(expected_usage, psa_get_key_usage_flags(&actual_attributes));
+    } else {
+        TEST_ASSERT(mbedtls_svc_key_id_equal(to_key_id, MBEDTLS_SVC_KEY_ID_INIT));
+    }
+
+exit:
+    mbedtls_pk_free(&pk);
+    psa_destroy_key(from_key_id);
+    psa_destroy_key(to_key_id);
+    psa_reset_key_attributes(&from_attributes);
+    psa_reset_key_attributes(&to_attributes);
+    psa_reset_key_attributes(&actual_attributes);
+    PSA_DONE();
+}
+/* END_CASE */