Bagüí has earned a 19 caps with the Ecuadorian national team. His first cap came on January 26, 2005 against Panama in Ambato. He was called up to play in the 2007 Copa América by coach Luis Fernando Suárez. He started in all three games for Ecuador as they were eliminated by Chile, Mexico, and Brazil. He continued to receive call-ups and caps for the team in 2007 during 2010 FIFA World Cup qualification. CS Emelec Serie A: 2013