diff --git a/tests/suites/test_suite_pk.data b/tests/suites/test_suite_pk.data
index e310a59..9086508 100644
--- a/tests/suites/test_suite_pk.data
+++ b/tests/suites/test_suite_pk.data
@@ -1145,6 +1145,42 @@
 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 pair to different curve (bad)
+depends_on:MBEDTLS_PK_HAVE_ECC_KEYS:MBEDTLS_TEST_PSA_ECC_HAVE_TWO_FAMILIES
+pk_import_into_psa_fail:MBEDTLS_PK_ECKEY:1:PSA_KEY_TYPE_ECC_KEY_PAIR(MBEDTLS_TEST_PSA_ECC_ANOTHER_FAMILY):MBEDTLS_ERR_PK_TYPE_MISMATCH
+
+PSA import into PSA: ECKEY_DH pair to different curve (bad)
+depends_on:MBEDTLS_PK_HAVE_ECC_KEYS:MBEDTLS_TEST_PSA_ECC_HAVE_TWO_FAMILIES
+pk_import_into_psa_fail:MBEDTLS_PK_ECKEY_DH:1:PSA_KEY_TYPE_ECC_KEY_PAIR(MBEDTLS_TEST_PSA_ECC_ANOTHER_FAMILY):MBEDTLS_ERR_PK_TYPE_MISMATCH
+
+PSA import into PSA: ECDSA pair to different curve (bad)
+depends_on:MBEDTLS_PK_HAVE_ECC_KEYS:MBEDTLS_TEST_PSA_ECC_HAVE_TWO_FAMILIES:MBEDTLS_PK_CAN_ECDSA_SOME
+pk_import_into_psa_fail:MBEDTLS_PK_ECDSA:1:PSA_KEY_TYPE_ECC_KEY_PAIR(MBEDTLS_TEST_PSA_ECC_ANOTHER_FAMILY):MBEDTLS_ERR_PK_TYPE_MISMATCH
+
+PSA import into PSA: ECKEY pair to public, different curve (bad)
+depends_on:MBEDTLS_PK_HAVE_ECC_KEYS:MBEDTLS_TEST_PSA_ECC_HAVE_TWO_FAMILIES
+pk_import_into_psa_fail:MBEDTLS_PK_ECKEY:1:PSA_KEY_TYPE_ECC_PUBLIC_KEY(MBEDTLS_TEST_PSA_ECC_ANOTHER_FAMILY):MBEDTLS_ERR_PK_TYPE_MISMATCH
+
+PSA import into PSA: ECKEY_DH pair to public, different curve (bad)
+depends_on:MBEDTLS_PK_HAVE_ECC_KEYS:MBEDTLS_TEST_PSA_ECC_HAVE_TWO_FAMILIES
+pk_import_into_psa_fail:MBEDTLS_PK_ECKEY_DH:1:PSA_KEY_TYPE_ECC_PUBLIC_KEY(MBEDTLS_TEST_PSA_ECC_ANOTHER_FAMILY):MBEDTLS_ERR_PK_TYPE_MISMATCH
+
+PSA import into PSA: ECDSA pair to public, different curve (bad)
+depends_on:MBEDTLS_PK_HAVE_ECC_KEYS:MBEDTLS_TEST_PSA_ECC_HAVE_TWO_FAMILIES:MBEDTLS_PK_CAN_ECDSA_SOME
+pk_import_into_psa_fail:MBEDTLS_PK_ECDSA:1:PSA_KEY_TYPE_ECC_PUBLIC_KEY(MBEDTLS_TEST_PSA_ECC_ANOTHER_FAMILY):MBEDTLS_ERR_PK_TYPE_MISMATCH
+
+PSA import into PSA: ECKEY public to different curve (bad)
+depends_on:MBEDTLS_PK_HAVE_ECC_KEYS:MBEDTLS_TEST_PSA_ECC_HAVE_TWO_FAMILIES
+pk_import_into_psa_fail:MBEDTLS_PK_ECKEY:0:PSA_KEY_TYPE_ECC_PUBLIC_KEY(MBEDTLS_TEST_PSA_ECC_ANOTHER_FAMILY):MBEDTLS_ERR_PK_TYPE_MISMATCH
+
+PSA import into PSA: ECKEY_DH public to different curve (bad)
+depends_on:MBEDTLS_PK_HAVE_ECC_KEYS:MBEDTLS_TEST_PSA_ECC_HAVE_TWO_FAMILIES
+pk_import_into_psa_fail:MBEDTLS_PK_ECKEY_DH:0:PSA_KEY_TYPE_ECC_PUBLIC_KEY(MBEDTLS_TEST_PSA_ECC_ANOTHER_FAMILY):MBEDTLS_ERR_PK_TYPE_MISMATCH
+
+PSA import into PSA: ECDSA public to different curve (bad)
+depends_on:MBEDTLS_PK_HAVE_ECC_KEYS:MBEDTLS_TEST_PSA_ECC_HAVE_TWO_FAMILIES:MBEDTLS_PK_CAN_ECDSA_SOME
+pk_import_into_psa_fail:MBEDTLS_PK_ECDSA:0:PSA_KEY_TYPE_ECC_PUBLIC_KEY(MBEDTLS_TEST_PSA_ECC_ANOTHER_FAMILY):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
@@ -1280,6 +1316,10 @@
 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, different family (bad)
+depends_on:PSA_WANT_KEY_TYPE_ECC_KEY_PAIR_GENERATE:MBEDTLS_TEST_PSA_ECC_HAVE_TWO_FAMILIES: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_ECC_KEY_PAIR(MBEDTLS_TEST_PSA_ECC_ANOTHER_FAMILY):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
@@ -1294,3 +1334,7 @@
 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
+
+PSA import into PSA: opaque ECC to public, different family (bad)
+depends_on:PSA_WANT_KEY_TYPE_ECC_KEY_PAIR_GENERATE:MBEDTLS_TEST_PSA_ECC_HAVE_TWO_FAMILIES: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_ECC_PUBLIC_KEY(MBEDTLS_TEST_PSA_ECC_ANOTHER_FAMILY):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
diff --git a/tests/suites/test_suite_pk.function b/tests/suites/test_suite_pk.function
index b9841a9..8e51aaa 100644
--- a/tests/suites/test_suite_pk.function
+++ b/tests/suites/test_suite_pk.function
@@ -114,6 +114,26 @@
 #define MBEDTLS_TEST_ECP_DP_ONE_CURVE 0
 #endif
 
+/* Pick a second curve, for tests that need two supported curves of the
+ * same size. For simplicity, we only handle a subset of configurations,
+ * and both curves will support both ECDH and ECDSA. */
+#if defined(PSA_WANT_ECC_SECP_R1_192) && defined(PSA_WANT_ECC_SECP_K1_192)
+/* Identical redefinition of the ONE macros, to confirm that they have
+ * the values we expect here. */
+#define MBEDTLS_TEST_PSA_ECC_ONE_FAMILY PSA_ECC_FAMILY_SECP_R1
+#define MBEDTLS_TEST_PSA_ECC_ANOTHER_FAMILY PSA_ECC_FAMILY_SECP_K1
+#define MBEDTLS_PSA_ECC_ONE_CURVE_BITS 192
+#define MBEDTLS_TEST_PSA_ECC_HAVE_TWO_FAMILIES
+#elif defined(PSA_WANT_ECC_SECP_R1_256) && defined(PSA_WANT_ECC_SECP_K1_256)
+#define MBEDTLS_TEST_PSA_ECC_ONE_FAMILY PSA_ECC_FAMILY_SECP_R1
+#define MBEDTLS_TEST_PSA_ECC_ANOTHER_FAMILY PSA_ECC_FAMILY_SECP_K1
+#define MBEDTLS_PSA_ECC_ONE_CURVE_BITS 256
+#define MBEDTLS_TEST_PSA_ECC_HAVE_TWO_FAMILIES
+#else
+/* Always define the macros so that we can use them in test data. */
+#define MBEDTLS_TEST_PSA_ECC_ANOTHER_FAMILY 0
+#endif
+
 #endif /* defined(MBEDTLS_PSA_CRYPTO_C) && defined(PSA_WANT_KEY_TYPE_ECC_PUBLIC_KEY) */
 
 #if defined(MBEDTLS_PK_USE_PSA_EC_DATA)