 He was listed as "Innocentio del Cornetto" under the list of instrumentalists, suggesting that he played the cornett for the court.Alberti's first published madrigals were in Cypriano de Rore's fourth book of madrigals for five voices, alongside those of Rore, Portinaro, and other members of the "Accademia".His three books of madrigals published in the first decade of the 17th century in Venice are most likely collections of madrigals written between ten and thirty years before.