Del Priore started in the ranks of Independiente.[1] In July 2018, Del Priore was loaned out to Primera B Nacional side Defensores de Belgrano.[1][2] 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.[1][3][4] Seventeen further appearances arrived in 2018–19.[1] Del Priore spent the subsequent 2019–20 campaign on loan with Villa Dálmine.[1] 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.[1]
On 3 November 2020, Del Priore was loaned out for a third time as he agreed a six-month deal with Primera B de Chile team Deportes Santa Cruz.[5] His debut arrived a day later during a home win over Unión San Felipe.[1] However, the spell was cut short and he was recalled at the end of January 2021. Following the spell in Chile, he had to loan spells at Estudiantes de Buenos Aires and Almirante Brown in 2021.