Gluten-Free, Vegan, and Vegetarian are on the menu, but the same kitchen also prepares what you avoid, so cross-contamination is possible. Tell staff what you react to, and ask how your dish is prepared before you order.
A family Italian restaurant in the old town that states on its own site that it serves gluten-free pizza and pasta as well as vegan dishes, with daily lunch menus on weekdays. Find Me Gluten Free users also note staff awareness of cross-contamination.