Monti was first called up to represent the Argentine national team in 1924. He won the 1927 South American Championship and the silver medal at the 1928 Summer Olympics. With Monti as a key player, Argentina cruised to the World Cup final in 1930, defeating France, Mexico, Chile, and the United States. Monti scored two goals along the way, and injured opponents with his tackling. Some sources speculate that Monti was carrying an injury, but whatever the truth, and despite a death threat, he had a quiet game as Uruguay triumphed 4–2.