SueZee, wherever you travel in the world your hotel will find you a suitable doctor who will speak enough English for your needs - just like Dr.F says - and Italy will have plenty.
Don't bother with lists as they will always be out of date by the time you might want to use them, plus it will no doubt not list a great doc that the hotel knows is just around the corner! At the worst the hotel will have an English speaking staff member sit with you to help translate.
Conversely, I do think that a good travel insurance policy is an absolute requirement - note that I am talking about a policy that will give you cover for all important aspects of travelling problems - including medical cover for major issues but not sniffs and sneezes.
We have a friend who went shopping in New York from UK and shortly after arrival found himself flat on his back in a US hospital with a couple of shiny new stents inserted in his arteries. Now, you don't want to find yourself uninsured in that situation! Equally, having the cost of emergency air repatriation fully covered is a must if you just got run over in India....
Finally, without going on too much about this, do bear in mind that some of the large package tour companies will not accept your booking unless you have full travel insurance (including medical).