Any good place to meet and talk in around main city?

Hi there, can I have your suggestion for a place to meet a friend and talk?

Apparently, I would be meeting my friend and we just want to sit and talk for a couple of hours. Since we belong to the same occupation we would be discussing work hence need some quiet and private kind of place.

Do you by any chance happen to know a good cafe that serves only vegetarian food? Since we both are pure brahmins hence we are uncomfortable in eating mix kitchens...

Help appreciated!