He was introduced to the emperor and took the opportunity of dedicating to that monarch his Specimen Litteraturae Florentinae, which was then printed at Florence.
On his return he took holy orders, and settled in Rome, passing the whole of his time in the library of the Vatican, and in those of the cardinals Passionei and Corsini.
The famous obelisk of Augustus, at that time removed from the ruins of Campus Martius, was described by Bandini in a learned folio volume entitled De Obelisco Augusti.
Shortly after, he was compelled to leave Rome on account of his health and returned to Florence, where he was appointed librarian to the valuable Biblioteca Marucelliana bequeathed to the public by abbott Marucelli.
In 1756 he was assigned by the emperor to a prebend at Florence, and appointed principal librarian to the Laurentian Library, vacant with the death of Antonio Maria Biscioni.