Gallese made his senior international debut on 6 August 2014 in a friendly against Panama. He kept a clean sheet and saved a penalty in the 82nd minute of the 3–0 victory. Pedro Gallese was selected to be in 2015 Copa América held in Chile with Peru eventually winning a bronze medal. Gallese was also selected to the squad for the Copa América Centenario in 2016 hosted in the United States. During the tournament he was named man of the match in Peru's 1–0 win over Brazil.