Suárez was invited to play for Uruguay in the qualifying rounds for the 2007 U-20 World Cup, but his club, Groningen, did not release him to play. He did play in the tournament finals, and he scored two goals in four appearances. His goals came in a group stage draw against Spain and in the Round of 16 against the United States, but the U.S. won 2–1 and Uruguay was eliminated from the tournament.