On 21 July 2021, Díaz moved to fellow second division team Villa Dálmine on loan until December 2022.[1] After only one goal in the 2021 season, he scored six times during the first half of the 2022 campaign before leaving in June 2022.[2]
Díaz's father Roberto was also a footballer and a forward. He was a part of the Argentina squad in the 1979 Copa América. After his proeminence at Independiente del Valle, he was often compared to Jack Grealish due to his looks.[5]