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.
Keep in mind another option you can take advantage of is testing directly at Rome's Fiumicino airport50. You can pre-register for the test online at this link33.
Have a wonderful time in Italy and let us know if you have any other questions!