They are both rather standard forms of greeting and don't necessarily convey anything negative. Of couse, almost any saying could convey the negative connotations referred to above, depending on the tone of voice, facial expression etc. I think the difference between ''glad" and ''nice'' is rather slight, although it is true that in expressions of this nature ''nice'' is somewhat non-committal, more pro forma. There is another espression, "delighted to meet you" or ''delighted to have met you." It would express stronger emotion.

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 :) x

Glad to meet you

Neither one. They are considered to be standard 'goodbye' phrases even if you weren't impressed by the person. Although the inflection in your tone could convey more or less sincerity.

Glad to meet you it's better