Almici was born at Brescia, of a noble family . He became a member of the Congregation of the Oratory at a very early age, and devoted himself to the study of theology, Greek, and Hebrew, the Bible, chronology, sacred and profane history, antiquities, criticism, diplomacy, and liturgy, and was held in much esteem for his great and wide learning. Amongst his contemporaries, he was regarded as an oracle upon many subjects, and is looked upon as one of the most celebrated theologians of his order.
He has left critical reflections on the work of Febronius's De Statu Ecclesiae (1763), together with some treatises, part of which are still in manuscript. His Méditations sur la vie et les écrits du P. Sarpi is a critical examination of Paolo Sarpi's unreliable history of the Council of Trent.
He wrote under multiple pseudonyms, including Callimaco Limi, Callimaco Mili, and N. N.
Of the many works he wrote, the principal are the following: