We ate at Piccola Pasta a couple of times when we were there in December. Reasonably priced, very good Italian food, extensive wine list with many Italian and Israeli labels, and super nice people. The bar upstairs is a cool space too. If you do a search, you can find a few reviews. It's well known, but Aboulafia in old Jaffa is worth the trip. Fantastic bakery but you have to eat it as a picnic.