Cuban team manager Roger Machado said his ballclub may have been spurred by the defections of two players.
The Durham Bulls are on the road in Norfolk, Virginia.
Defections have continued to hit Cuba's national team despite a decision in late 2013 to raise athletes' salaries and let them sign lucrative contracts to compete overseas during the offseason.
Durham ends three-game losing streak on Wednesday
Strong work by left-handed starter Robert Zarate leads Bulls to game one win that halted three-game losing streak
Philadelphia snares Okafor at No. 3, while Miami gets Winslow at No. 10. Tyus Jones selected by Cleveland at No. 24 and traded home to Minnesota.
Seeking first playoff berth since 2009, Carolina Hurricanes open NHL schedule at Nashville this October. Home opener is Oct. 10.
Gerald Henderson played at Duke
Rays left-hander progressing well 14 months after Tommy John surgery
Columbus gets three-run home run in 10th inning to hold off Bulls by a run.
Indians score twice in ninth, one in 10th to edge Durham
The Durham Bulls got the best of the Louisville Bats again on Sunday with a 3-2 win.
Bats batter Buschmann for eight runs and 11 hits