It is possible for foreigners to get a mortgage in Italy for Italian properties. This can include the purchase and refurbishiment costs.
However, in the last few years Italian banks have tightened up the mortgage lending policies for foreigners.
Mortgages for foreign buyers are only available for residential properties, covering property purchases, renovation projects, or new builds. And you must be a residential buyer.
FYI. If the existing owner has mortgage on the property. You could assume take on the mortgage at no cost and with no fee. But you will need a good legal expert to check the mortgage terms. You could make some considerable savings.
It’s important you get expert help to improve your chances of success