As a child, Villagra was with Cobreloa until the age of 15 and next joined Unión Española youth system.

[1] He made his professional debut in the 2020 Primera División match against Cobresal on February 15, 2021, along with his teammate Gabriel Norambuena.

[2] In August 2024, Villagra moved to Colo-Colo on loan until the end of the year with an option to buy.

[3] He represented Chile at under-23 level in a 1–0 win against Peru U23 on 31 August 2022, in the context of preparations for the 2023 Pan American Games.

[4] He was included in the final squad for the games,[5] where Chile won the silver medal.