Born in Cali, Lucumí began his career with local side Club Atlético Dorados at the age of four.[1] He moved to the youth categories of Boca Juniors de Cali in 2013, aged nine, and was promoted to the first team for the 2021 season.[1]
Lucumí made his first team debut on 11 February 2021, coming on as a second-half substitute in a 1–0 Categoría Primera B home loss to Unión Magdalena.[2] A backup option in his first year, he became a starter in his second, scoring his first senior goal on 18 July 2022, in a 2–1 home win over Orsomarso.[3]