If you get hungry in the middle of the night and you really desire a pizza or a hamburger then stop over at Fratelli Cuore, it is the only place in Florence open 24 hours a day and it is right at the train station. The kitchen is always open so if you have a late or early train it is the perfect place to stop by for a bit or drink. The restaurant is really cute and modern and you can always find a table when you arrive.
The pizza is really good, also the ingredients are from southern Italy, where the really good pizza recipes come from! They have a very full menu and you can get whatever your heart desires, from a simple salad to a cheese cake.
When I go, I always like to go for the high Italian carb diet and get the pizza and a nice creamy dessert like tiramisu – can’t ask for more some days!