Playing for Las Tunas, Urrutia hit over .400 in the Cuban National Series for three straight years, beginning in 2000 (.431 in 2000-2001, .408 in 2001-2002 and .421 in 2002-2003).

Urrutia, who is 1.78m (5'10") and 104 kg (229 pounds), has competed in many international tournaments for Cuba, including: During the 2005 World Cup of Baseball, Urrutia hit for a .387 average with five runs batted in (RBI) and 12 hits in 31 at-bats.

During the 2006 World Baseball Classic, Urrutia batted .387 with one home run and seven RBIs in eight games, leading team Cuba to the championship game, where they lost 10-6 to Japan.

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