Because of the proximity of Little Italy to the federal and state courthouses, many lawyers are habitues of Italian restaurants. For example, a favorite place to go during a lunch break or while waiting for a grand jury is Forlini's on Baxter Street.
The only restaurant in Little Italy in which I would ever eat dinner, however, is Il Cortile. This was the local favorite of the late godfather, John Gotti and the place where the cast of "The Sopranos" used to have a regular dinner ritual whenever a certain event happened on the show. If they know you, you can order many things that are not on the menu.
Note that the restaurants in Little Italy serve primarily southern Italian cuisine and are not very fancy.
It you want Italian haute cuisine, you should head uptown to places like Il Mulino, Felidia, Babbo, etc.