The situation may have changed since I did a bike tour in northern Italy (and Ticino, the Italian-speaking canon in Switzerland) many years ago.
I didn't notice local folks doing long-distance touring. They were more on racers, and not so much on touring bikes. Most of the cycle tourists I met were from Germany or Switzerland, and as a rule they seemed to prefer flat-handled bikes that more closely resembled hybrid or mountain bikes: so more upright riding positions, and fatter tires.
If you also prefer the flat bar style, consider going to Germany or Switzerland to find your souvenir. But if you like drop bars on a touring bike, there may be more options on this side of the Atlantic. (I prefer drop bars for the postural variety they offer.)