His uncle moved to Torino in 1820, being named chief rabbi of the Jewish communities of Piemont.
Della Torre studied Greek, Latin and Italian in Torino, from the age of sixteen working as a private tutor in order to support his mother and three sisters.
From 1823, he was teacher for Hebrew philology and biblical exegesis at the Jewish Collegio Colonna e Finzi in Torino.
In 1829, he was called to Padua as professor of Talmud, homiletics and pastoral theology at the newly established rabbinical seminar there, a position he held until his death.
He also wrote various scholarly articles in Classical Hebrew in the journals Kerem Ḥemed, Bikkure ha-'Ittim, ,Oẓar Neḥmad and Kokebe Yiẓḥaḳ.