The US Department of State has issued the following travel alert for Italy (Level 3 - 'Reconsider Travel').
"There is an ongoing outbreak of COVID-19 caused by a novel (new) coronavirus in Italy. Many cases of COVID-19 have been associated with travel to or from mainland China or close contact with a travel-related case, but sustained community spread has been reported in Italy. Sustained community spread means that people have been infected with the virus, but how or where they became infected is not known, and the spread is ongoing. The CDC has issued a Level 3 Warning for Italy. At this time, CDC recommends avoiding non-essential travel to Italy. Travelers should review and follow the Centers for Disease Control and Prevention’s (CDC) guidelines for the prevention of coronavirus if they decide to travel to Italy.
Italy’s risk of terrorism remains unchanged. Italy has a longstanding risk presented by terrorist groups, who continue plotting possible attacks in Italy. Terrorists may attack with little or no warning, targeting tourist locations, transportation hubs, markets/shopping malls, local government facilities, hotels, clubs, restaurants, places of worship, parks, major sporting and cultural events, educational institutions, airports, and other public areas."
Further information can be found at Italy Travel Advisory.