Can I get public/private key pair from a key container in smartcard?

Question

Can I get the public/private key pair from a key container inside a smartcard using PKCS #11 or CryptoAPI?

Answer 1

I'm no expert in this, but I think the whole point of a smartcard is that you can't extract the private key. You send the data to the card instead, and let it do the crypto operations on its own processor.