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. He was also second in Strikeouts with 119, behind Aroldis Chapman who had 130 (after the season, Chapman defected and signed with the Cincinnati Reds). On this performance, Maya won Cuba's equivalent of the Cy Young Award. During six Cuban National Series seasons, Maya accumulated a record of 48–29 and an ERA of 2.51.