The last Catholic university in Rome (if you don't count Sacro Cuore), outside of the pontifical university network, is the European Univeristy of Rome (see: http://www.unier.it/).
There is a reason for this: it is a new univeristy having been only just founded these past few years. And, it is operated by the Legionaries of Christ.
This university is already growing fast and has different faculties (such as law, history, etc.), a lovely green campus and a great location in suburban Rome.
Maria, Sede della Sapienza, prega per noi!