Yes, this is the case and ..... the problem.
This is the Fulfilments for entry into Italy for countries List E (updated November 4th)
However need:
molecular or antigenic swab carried out within 72 hours prior to entry into Italy
self-isolation at the address indicated on the Passenger Locator Form for 10 days
PS: We have many rules, they can change every 7-10 days and it is difficult for us to understand them too.....