Yea there cud be some non Pakistani students n some overseas Pakistani students who come to Pakistani to study there, Im not sure though and there are universities as well as schools like beacon house and the city school but it depends on your field and taste, One of my cazun came to Pakistani from USA to study medical there but she didn't like the educational environment and went back.
You need to search about universities according to your area of study first and then visit them, Plus you wud have to see which city u gonna live in.
The best choices would be
Medical: King edward university ( im sure there are more I cant remember the names)
Business: LUMS - UMT - IBA
Engineering: UET - SSUET
Arts and Architect: NCA - Beacon house university - Iqra university - Indus Valley School of Arts and Architecture.
http://en.wikipedia.org/wiki/List_of_universities_in_Pakistan
Good Luck : )