Say the name slowly and intentionally

When the conversation starts to wrap up, say the other person's name again and look them in the eye while doing so.

For example: The conversation is nearing to an end, both people say their goodbyes and shakes hands as they start to part their ways. Mario reaches his hand out for a handshake and says "Paula, it's been nice meeting you, and I hope to see you again." Paula is delighted that Mario still remembers her name and replies "Mario, I had a wonderful time. Let's meet again."