Bordogni was born in Gazzaniga, near Bergamo, Italy. He was a product of the Bergamo tenor school which originated with Giacomo David and Gaetano Crivelli, and in which can be counted, in addition to David's two best pupils (namely his son Giovanni and Andrea Nozzari, both notable in Rossini's operas), and besides Bordogni himself, also Domenico Donzelli and Giovanni Battista Rubini .