travel insurance for Italy

We typically travel independently, so I don't get cancellation insurance since we are not purchasing a travel package. My business class airfare is purchased with frequent flyer miles, so I purchase the inexpensive and limited Allianz insurance policy that is offered on the AA website at time of ticket purchase. I only stay at hotels that have generous cancellation policies and where I pay in-full at the hotel when I check in. I once canceled 3 hotel reservations one week before departure due to transportation strikes in France, and we were not out a dime.
When we have taken RS tours that require payment before the trip begins, we purchased travel insurance from Nationwide. Before one RS tour, our flight was diverted and we had to land at PHL and spend the night. For the trip interruption, Allianz paid by the end of the week to cover the cost of the hotel, and Nationwide paid within 2 weeks to cover the cost of having to make a change in our airline ticket for a flight within the EU.

We have an annual medical policy with Geo-Blu, and an annual policy for medical evacuation with Medjet Assist. Fortunately we never had to file a claim with either.

Never heard of Faye

You can compare plans at
insuremytrip.com
squaremouth.com

Lots of discussions here on forum
https://search.ricksteves.com/?button=&date_range=2y&filter=Travel+Forum&query=Trip+insurance+

Allianz has been recommended many times on the forum. I have bought trip only and annual policies with varied coverage. Fortunately I have never filed a claim with them.
For med evac I have bought annual MedJet policies. Again, no claims.

I vaguely remember someone posting about Faye insurance maybe a year ago. Try the search feature to see if you can find it.