I have successfully imported the private key into the PKCS11 token. The token object looks like this:
Private Key Object; RSA
label: #####
ID: #####
Usage: decrypt, sign, unwrap
Access: sensitive
Public Key Object; RSA 2048 bits
label: #####
ID: #####
Usage: encrypt, verify, wrap
Access: none
I learned that CKA_VALUE usually could not be extracted. And I would like to know what is the correct procedure to create mTLS connection by using pkcs#11 private key and certificate.