diff --git a/tests/suites/test_suite_mpi.data b/tests/suites/test_suite_mpi.data
index 6a32273..c87c4ce 100644
--- a/tests/suites/test_suite_mpi.data
+++ b/tests/suites/test_suite_mpi.data
@@ -325,6 +325,33 @@
 Test mbedtls_mpi_mod_raw_io #20 (writing with invalid endianness)
 mbedtls_mpi_mod_raw_io:"":1:1:MBEDTLS_MPI_MOD_EXT_REP_INVALID:0:MBEDTLS_ERR_MPI_BAD_INPUT_DATA
 
+Test mbedtls_mpi_mod_raw_io #1 (Both representations invalid)
+mbedtls_mpi_mod_setup:MBEDTLS_MPI_MOD_EXT_REP_INVALID:MBEDTLS_MPI_MOD_REP_INVALID:MBEDTLS_ERR_MPI_BAD_INPUT_DATA
+
+Test mbedtls_mpi_mod_raw_io #2 (Internal representation invalid)
+mbedtls_mpi_mod_setup:MBEDTLS_MPI_MOD_EXT_REP_LE:MBEDTLS_MPI_MOD_REP_INVALID:MBEDTLS_ERR_MPI_BAD_INPUT_DATA
+
+Test mbedtls_mpi_mod_raw_io #3 (Internal representation invalid)
+mbedtls_mpi_mod_setup:MBEDTLS_MPI_MOD_EXT_REP_BE:MBEDTLS_MPI_MOD_REP_INVALID:MBEDTLS_ERR_MPI_BAD_INPUT_DATA
+
+Test mbedtls_mpi_mod_raw_io #4 (External representation invalid)
+mbedtls_mpi_mod_setup:MBEDTLS_MPI_MOD_EXT_REP_INVALID:MBEDTLS_MPI_MOD_REP_MONTGOMERY:MBEDTLS_ERR_MPI_BAD_INPUT_DATA
+
+Test mbedtls_mpi_mod_raw_io #5 (External representation invalid)
+mbedtls_mpi_mod_setup:MBEDTLS_MPI_MOD_EXT_REP_INVALID:MBEDTLS_MPI_MOD_REP_OPT_RED:MBEDTLS_ERR_MPI_BAD_INPUT_DATA
+
+Test mbedtls_mpi_mod_raw_io #6 (Both representations valid)
+mbedtls_mpi_mod_setup:MBEDTLS_MPI_MOD_EXT_REP_BE:MBEDTLS_MPI_MOD_REP_OPT_RED:0
+
+Test mbedtls_mpi_mod_raw_io #7 (Both representations valid)
+mbedtls_mpi_mod_setup:MBEDTLS_MPI_MOD_EXT_REP_BE:MBEDTLS_MPI_MOD_REP_MONTGOMERY:0
+
+Test mbedtls_mpi_mod_raw_io #8 (Both representations valid)
+mbedtls_mpi_mod_setup:MBEDTLS_MPI_MOD_EXT_REP_LE:MBEDTLS_MPI_MOD_REP_OPT_RED:0
+
+Test mbedtls_mpi_mod_raw_io #9 (Both representations valid)
+mbedtls_mpi_mod_setup:MBEDTLS_MPI_MOD_EXT_REP_LE:MBEDTLS_MPI_MOD_REP_MONTGOMERY:0
+
 Base test mbedtls_mpi_read_binary #1
 mbedtls_mpi_read_binary:"0941379d00fed1491fe15df284dfde4a142f68aa8d412023195cee66883e6290ffe703f4ea5963bf212713cee46b107c09182b5edcd955adac418bf4918e2889af48e1099d513830cec85c26ac1e158b52620e33ba8692f893efbb2f958b4424":"0941379D00FED1491FE15DF284DFDE4A142F68AA8D412023195CEE66883E6290FFE703F4EA5963BF212713CEE46B107C09182B5EDCD955ADAC418BF4918E2889AF48E1099D513830CEC85C26AC1E158B52620E33BA8692F893EFBB2F958B4424"
 
diff --git a/tests/suites/test_suite_mpi.function b/tests/suites/test_suite_mpi.function
index 6be7b21..07bd038 100644
--- a/tests/suites/test_suite_mpi.function
+++ b/tests/suites/test_suite_mpi.function
@@ -363,6 +363,35 @@
 /* END_CASE */
 
 /* BEGIN_CASE */
+void mbedtls_mpi_mod_setup( int ext_rep, int int_rep, int iret )
+{
+    #define MLIMBS 8
+    mbedtls_mpi_uint mp[MLIMBS];
+    mbedtls_mpi_mod_modulus m;
+    int ret;
+
+    memset( mp, 0xFF, sizeof(mp) );
+
+    mbedtls_mpi_mod_modulus_init( &m );
+    ret = mbedtls_mpi_mod_modulus_setup( &m, mp, MLIMBS, ext_rep, int_rep );
+    TEST_ASSERT( ret == iret );
+
+    /* Address sanitiser should catch if we try to free mp */
+    mbedtls_mpi_mod_modulus_free( &m );
+
+    /* Make sure that the modulus doesn't have reference to mp anymore */
+    TEST_ASSERT( m.p != mp );
+
+exit:
+    /* It should be safe to call an mbedtls free several times */
+    mbedtls_mpi_mod_modulus_free( &m );
+
+    #undef MLIMBS
+}
+/* END_CASE */
+
+
+/* BEGIN_CASE */
 void mbedtls_mpi_mod_raw_io( data_t *input, int nb_int, int nx_64_int,
                              int iendian, int iret, int oret )
 {