diff --git a/tests/suites/test_suite_psa_crypto.data b/tests/suites/test_suite_psa_crypto.data
index e964186..53d8c95 100644
--- a/tests/suites/test_suite_psa_crypto.data
+++ b/tests/suites/test_suite_psa_crypto.data
@@ -85,6 +85,14 @@
 depends_on:MBEDTLS_PK_PARSE_C:MBEDTLS_RSA_C
 import:"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":PSA_KEY_TYPE_RSA_KEYPAIR:PSA_ERROR_INVALID_ARGUMENT
 
+PSA import RSA keypair: public key
+depends_on:MBEDTLS_PK_PARSE_C:MBEDTLS_RSA_C
+import:"30819f300d06092a864886f70d010101050003818d0030818902818100af057d396ee84fb75fdbb5c2b13c7fe5a654aa8aa2470b541ee1feb0b12d25c79711531249e1129628042dbbb6c120d1443524ef4c0e6e1d8956eeb2077af12349ddeee54483bc06c2c61948cd02b202e796aebd94d3a7cbf859c2c1819c324cb82b9cd34ede263a2abffe4733f077869e8660f7d6834da53d690ef7985f6bc30203010001":PSA_KEY_TYPE_RSA_KEYPAIR:PSA_ERROR_INVALID_ARGUMENT
+
+PSA import RSA public key: key pair
+depends_on:MBEDTLS_PK_PARSE_C:MBEDTLS_RSA_C
+import:"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":PSA_KEY_TYPE_RSA_PUBLIC_KEY:PSA_ERROR_INVALID_ARGUMENT
+
 PSA import RSA keypair: valid key but EC
 depends_on:MBEDTLS_PK_PARSE_C:MBEDTLS_RSA_C
 import:"3077020101042049c9a8c18c4b885638c431cf1df1c994131609b580d4fd43a0cab17db2f13eeea00a06082a8648ce3d030107a144034200047772656f814b399279d5e1f1781fac6f099a3c5ca1b0e35351834b08b65e0b572590cdaf8f769361bcf34acfc11e5e074e8426bdde04be6e653945449617de45":PSA_KEY_TYPE_RSA_KEYPAIR:PSA_ERROR_INVALID_ARGUMENT
@@ -97,7 +105,7 @@
 depends_on:MBEDTLS_PK_PARSE_C:MBEDTLS_PK_WRITE_C:MBEDTLS_RSA_C
 import_export_public_key:"30819f300d06092a864886f70d010101050003818d0030818902818100af057d396ee84fb75fdbb5c2b13c7fe5a654aa8aa2470b541ee1feb0b12d25c79711531249e1129628042dbbb6c120d1443524ef4c0e6e1d8956eeb2077af12349ddeee54483bc06c2c61948cd02b202e796aebd94d3a7cbf859c2c1819c324cb82b9cd34ede263a2abffe4733f077869e8660f7d6834da53d690ef7985f6bc30203010001":PSA_KEY_TYPE_RSA_PUBLIC_KEY:PSA_ALG_RSA_PKCS1V15_SIGN_RAW:1024:162:PSA_SUCCESS
 
-PSA import/export-public PSA keypair: good, 1024-bit
+PSA import/export-public RSA keypair: good, 1024-bit
 depends_on:MBEDTLS_PK_PARSE_C:MBEDTLS_PK_WRITE_C:MBEDTLS_RSA_C
 import_export_public_key:"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":PSA_KEY_TYPE_RSA_KEYPAIR:PSA_ALG_RSA_PKCS1V15_SIGN_RAW:1024:162:PSA_SUCCESS
 
@@ -137,6 +145,18 @@
 depends_on:MBEDTLS_PK_PARSE_C:MBEDTLS_ECP_C:MBEDTLS_ECP_DP_BP384R1_ENABLED:MBEDTLS_ECP_DP_SECP384R1_ENABLED
 import:"3077020101042049c9a8c18c4b885638c431cf1df1c994131609b580d4fd43a0cab17db2f13eeea00a06082a8648ce3d030107a144034200047772656f814b399279d5e1f1781fac6f099a3c5ca1b0e35351834b08b65e0b572590cdaf8f769361bcf34acfc11e5e074e8426bdde04be6e653945449617de45":PSA_KEY_TYPE_ECC_KEYPAIR(PSA_ECC_CURVE_BRAINPOOL_P384R1):PSA_ERROR_INVALID_ARGUMENT
 
+PSA import EC keypair: public key
+depends_on:MBEDTLS_PK_PARSE_C:MBEDTLS_ECP_C:MBEDTLS_ECP_DP_SECP256R1_ENABLED
+import:"3059301306072a8648ce3d020106082a8648ce3d03010703420004dea5e45d0ea37fc566232a508f4ad20ea13d47e4bf5fa4d54a57a0ba012042087097496efc583fed8b24a5b9be9a51de063f5a00a8b698a16fd7f29b5485f320":PSA_KEY_TYPE_ECC_KEYPAIR(PSA_ECC_CURVE_SECP256R1):PSA_ERROR_INVALID_ARGUMENT
+
+PSA import EC public key: key pair
+depends_on:MBEDTLS_PK_PARSE_C:MBEDTLS_ECP_C:MBEDTLS_ECP_DP_SECP256R1_ENABLED
+# For consistency with ECpub as ECpair, RSApub as RSApair and RSApair as RSApub,
+# one would expect the status to be PSA_ERROR_INVALID_ARGUMENT. But the
+# Mbed TLS pkparse module returns MBEDTLS_ERR_PK_INVALID_ALG, I think because
+# it's looking for an OID where there is no OID.
+import:"3078020101042100ab45435712649cb30bbddac49197eebf2740ffc7f874d9244c3460f54f322d3aa00a06082a8648ce3d030107a14403420004dea5e45d0ea37fc566232a508f4ad20ea13d47e4bf5fa4d54a57a0ba012042087097496efc583fed8b24a5b9be9a51de063f5a00a8b698a16fd7f29b5485f320":PSA_KEY_TYPE_ECC_PUBLIC_KEY(PSA_ECC_CURVE_SECP256R1):PSA_ERROR_NOT_SUPPORTED
+
 PSA import EC keypair: valid key but RSA
 depends_on:MBEDTLS_PK_PARSE_C:MBEDTLS_ECP_C:MBEDTLS_ECP_DP_BP512R1_ENABLED:MBEDTLS_RSA_C
 import:"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":PSA_KEY_TYPE_ECC_KEYPAIR(PSA_ECC_CURVE_BRAINPOOL_P512R1):PSA_ERROR_INVALID_ARGUMENT