On 10 October 2014, in a friendly 3–0 win against Peru, Bravo earned his 85th cap, surpassing Leonel Sánchez as Chile's most capped player of all time. He was the captain and played every minute as they won the 2015 Copa América on home soil, their first major international honour. In the final against Argentina at the Estadio Nacional, he kept a clean sheet as the match finished goalless after extra time, and then saved from Éver Banega in the subsequent penalty shootout; he was subsequently chosen for the Team of the Tournament.