 Alberto Drago was ordained a priest in the Order of Preachers.On 29 November 1599, he was appointed during the papacy of Pope Clement VIII as Bishop of Termoli.On 19 December 1599, he was consecrated bishop by Giulio Antonio Santorio, Cardinal-Bishop of "Palestrina", with Metello Bichi, Bishop of Sovana, and Benedetto Mandina, Bishop of Caserta, serving as co-consecrators.