- Dress Code: Casual
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La Parmigiana Restaurant Review: This family-run Italian restaurant, called La Parm by locals, has been a Southampton staple for more than 40 years. Whether it's to pick up homemade ravioli or tomato sauce to take home from the storefront or for a sit-down meal in the warm and cozy dining room, this is a must for anyone who likes Italian-American cuisine. The menu has all of the standbys covered, from crispy fried calamari to generous portions of pasta. The pizza has its loyal customers and its skeptics; to be sure, go for a veal Parmigiana hero instead: the namesake cutlet is covered in zesty tomato sauce and generous amounts of melted mozzarella.