He studied philosophy and theology at the Roman College as a student of Christopher Clavius, and left the Jesuits in 1580.
He later taught rhetoric and Greek at the Collegio Pontifico Greco and mathematics and ethics at the Sapienza University of Rome.
In 1611 Valerio obtained a position in the Vatican library in addition to his post at Sapienza giving him close connection with the top people in the Roman Catholic church.
[2] The prospect of being called before the Inquisition caused Valerio to end all correspondence with Galileo and resign from the Accademia dei Lincei.
Federico Cesi, the Accademia dei Lincei's founder, still hoped however that Valerio could re-enter the ranks of the academics, but the mathematician died in January 1618.