 He was part of the Cuban national baseball team at the 2006 and 2009 World Baseball Classic.Maya led the Cuban National Series with a 1.61 earned run average (ERA) in 2004–05, and followed that up with a 7–9 record and a 3.79 ERA in 2005–06.In the 2008–2009 Cuban National Series Season Maya finished with a 13–4 record and seven complete games, and finished second amongst League Leaders in ERA with 2.22 ERA.