Martí was 1-0 with two saves and no earned runs at the 2006 World Baseball Classic, helping Cuba to a second-place finish.

He also pitched for Cuba in the 2007 Baseball World Cup, coming one out short of a seven-inning perfect game against Venezuela.

[1] Martí was originally slated to play in the 2009 World Baseball Classic, but he and Yasser Gómez were kicked off the team in November 2008 for an unspecified reason, believed to be an attempted defection to the United States.

[2] Marti, Gómez and Juan Yasser Serrano reportedly defected from Cuba in December 2008 in an effort to get to the Dominican Republic to seek a Major League Baseball career.

[5] Martí signed with the Oakland Athletics as a free agent to a Minor League contract on August 6, 2010.