Trinci, a partisan of the Ghibelline forces, ruled Foligno along with his brothers Niccolò and Bartolomeo, until the latter two were assassinated by the castellan of Nocera Umbra.
Corrado Trinci took his revenge by attacking the town and killing the castellan.
Attacked by Francesco I Sforza, however, he obtained the title of vicar of Foligno and Nocera Umbra from Pope Martin V. After this appointment, Trinci was sent to recapture Perugia, held at the time by Oddo Fortebracci.
Peace with Rome was restored by 1435, but Trinci maintained his control of Montefalco.
When Trinci favored the rebellion of Piero Tomacelli in Spoleto, Pope Eugene IV sent Cardinal Giovanni Vitelleschi to dethrone him.