This information for the UK is from the BBC News website:
Does my insurance cover me if my trip doesn't go ahead?
If the FCO hasn't issued a warning, that means you can't expect compensation if you get cold feet and decide to call the journey off.
Su Crown, a spokesperson for the Association of British Insurers, said: "In general, cancellation or travel disruption cover will activate when the FCO advises against all travel or all but essential travel to an area.
"Travel insurance is not designed to cover 'disinclination to travel' where the FCO advice has not changed to advise against travel."
AXA UK, one of the leading travel insurers, agrees with that view.
"Our stance is consistent with the travel advice from the Foreign and Commonwealth Office," says Nel Mooy, its head of travel proposition.
"When the FCO advises against travel to a country or a region, people who are booked to travel there should call their airline or travel provider to cancel or postpone and arrange a refund," Axa said.
"Then they should contact their insurer to register a claim."
Will I get a refund?
While insurers may not cover cancellations, some airlines are now letting passengers re-book flights.
British Airways has said that passengers with bookings to some airports in the north of Italy - including Milan, Turin, Bologna, Venice, Bergamo and Verona - will now be able to re-book their flights for a later date.
Delta and Air Canada have announced similar policies.
Many hotels in areas under lock-down are offering refunds or the option to re-book. But if the hotel and its location are open, and the booking is non-refundable, travellers may lose out.
So where does that leave me?
If you're on a flight to northern Italy in the near future, it looks set to operate normally.
The Irish Department of Foreign Affairs takes a slightly different line from the UK government. It says: "Citizens are advised not to travel to affected areas."
However, it places the onus on travellers to find out whether the area to which they are travelling is affected, advising them to "consult with your transport and accommodation providers".