Cufré is a youth exponent from Vélez Sarsfield. On 18 October 2015, he made his first team debut in a league game against CA Lanús in a 1–0 away win. He played the full game. He scored is first goal on 28 October 2018 in a 1–0 win against Belgrano.[2]
Mallorca
On 28 September 2020, Cufré was officially announced as Mallorca's newest arrival, he signed for four seasons.[3] He contributed with one goal in 29 league appearances during the campaign, as his club achieved promotion to La Liga.
On 11 August 2021, Cufré was loaned to Málaga CF for one year.[4]
On 3 February 2023, Cufré signed on loan with New York City FC until the end of the Major League Soccer season with an option to make the transfer permanent.[5] Upon returning, he terminated his contract with Mallorca on 31 January 2024.[6]