Canobbio is a youth academy graduate of Fénix. He made his professional debut for the club on 30 August 2016 in a 1–0 league defeat against Cerro.[3] He joined Peñarol in January 2018.[4]
On 7 January 2022, Canobbio was named in Uruguay's 50-man preliminary squad for FIFA World Cup qualifying matches against Paraguay and Venezuela.[6] He made his senior team debut on 27 January 2022 in a 1–0 win against Paraguay.[7]