Falcao made his senior debut for Colombia in 2007, and has since earned over 90 caps and scored 35 goals, making him their all-time top scorer since breaking the previous record of 25 goals in June 2017. He represented his country at the 2011, 2015 and 2019 Copa América. Falcao missed the 2014 FIFA World Cup through injury, but made his World Cup debut at the 2018 tournament in Russia.