Hello DB. I've heard from several travelers that the Abbot BinaxNOW Ag Card test121 has worked well for re-entry testing prior to departure for the US.
All the tests offered by pharmacies in Rome are eligible for travel because they are conducted by a health professional. The ones that aren't acceptable are home tests that aren't telemedicine proctored tests (such as the one above) because there's no official certificate or proof to validate the negative result.
Have a wonderful time in Italy and let us know if you have any other questions!