Del Priore started in the ranks of Independiente. In July 2018, Del Priore was loaned out to Primera B Nacional side Defensores de Belgrano. Having been an unused substitute six times in all competitions, he made his professional debut on 3 November during a 1–1 draw with Independiente Rivadavia. Seventeen further appearances arrived in 2018–19. Del Priore spent the subsequent 2019–20 campaign on loan with Villa Dálmine. He featured eighteen times and scored once; netting in his final match on 1 March 2020 in a defeat away from home versus Gimnasia y Esgrima.
