On 16 January 2012, Báez reached a five-year deal with Chilean powerhouse Colo-Colo, which bought the 50% rights for a US$300.000 fee.[2] However, two weeks later he returned to his country, joining on loan to Deportivo Capiatá — after being on trial with coach Ivo Basay[3] — to finish his studies.[4]
After completing his loan spell and studies, he returned to Colo-Colo on 20 December.[4]
On 18 May 2015, it was reported that he returned to Colo-Colo and joined the pre-season and began to train with the first adult team under coach José Luis Sierra on the head, to face the season.[5] However, he was loaned to Deportivo Santaní in his homeland and Iberia in the Chilean second level the next year.[6]