I'd definitely say "glad" shows more emotion.
I largely agree with Kevin, but if I shook someone's hand and said "nice to meet you" it could be the same to me as saying, "yea whatever I'm not really bothered" (although it could also be sincere and it may have been lovely to have met them) - but if I said, "Glad to have met you" - it really would, for me, mean that the meeting had greater significance to me.
Personally, that's my opinion.
Glad - is a type of happiness which is created, and for the happiness you're grateful.
So - Glad :)