You are responsible for your personal insurance: this should include Health Insurance and Personal Property Loss. For many of you, if you already hold a policy with Anthem, you can purchase a travel policy through their GeoBlue subsidiary.
https://www.anthem.com/individual-and-family/travel-medical-insurance
You might also inquire from your homeowners’ insurance company, through AAA, or by contacting Allianz.
Coverage for all medical, dental and health emergencies is YOUR responsibility. The socialized medicine program in Italy is good, but you should not depend upon it alone.