Falvetti was born in Melicuccà in Calabria,Kingdom of Naples on December 29, 1642, but spent most of his life and musical career in the Kingdom of Sicily. In 1670, he became Maestro di cappella in Palermo, and in 1679 founded the 'Unione dei Musici' in that city. In or around 1682 he moved to Messina where he was named Maestro di Cappella del Senato di Messina. Falvetti died in Messina in 1692.
Il diluvio universale (1682) - includes sung parts for Noah, Rad, Water, Death, Divine Justice, God, Human Nature, - recording Leonardo García-Alarcón, La Cappella Mediterranea, Choeur de chambre de Namur. Ambronay 2011
Il Nabucco (1683) - recording Leonardo García-Alarcón, La Cappella Mediterranea, Choeur de chambre de Namur. Ambronay 2013