Díaz's career began with Agropecuario.[2][3] He appeared in the club's first-team squad during the 2015 and 2016 Torneo Federal B seasons, scoring two goals in thirty-nine appearances for the club.[3] They won back-to-back promotions over the next two campaigns, going from Torneo Federal B to Primera B Nacional.[2] He subsequently made his professional debut on 24 September 2017 during a win away to Flandria, in a season that saw Díaz scouted by Manchester United.[2][4][5] Midway through 2018–19, on 14 January 2019, Talleres of the Primera División loaned Díaz.[6] Talleres decided to buy him free at the end of the year.[7]
On October 1, 2023, he scored the second goal against Boca Juniors at the Superclásico in La Bombonera for the Copa de la Liga while playing for River Plate.