Again, this is only my impression, but mostly the restaurants in their
own town will have the local
cuisine. In the larger cities, you might have more choices. For
instance, there is a restaurant I know of in Venice which highlights
Tuscan cuisine, but mostly in Venice you get Venetian cuisine.
In Genoa, you eat Genovese in most restaurants, pesto and seafood and
such. You probably would
have a tough time getting the local Piedmont cheese bra outside of
Piedmont, so it would be hard to have that as an offering on a menu in
Sicily. I will consult my Italian friend for more info on this.