Wild grapes tend to have large bunches of really small fruit with a few seeds, if I remember right. We had some in our backyard in Livermore years ago.
Are you guys talking about the huge, swollen, purple grapes that are incredibly sweet and juicy? In New Delhi, you only find those grapes at large supermarkets. Most grapes sold here are exactly what you described: large bunches of really small fruit. No seeds, though.