Baez, 20, who stands 6-foot-8 and weighs 230 pounds, played one season in Cuba's Serie Nacional in 2014. He has a fastball that sits in the 93-97 mph range.
San Diego has been quite busy on the international market. To date, the Padres have signed more than 40 international prospects for a combined $35 million in bonuses since the international signing period began July 2. Because they exceeded their pool limit ($3,347,600), they were taxed 100 percent on the spending, and they will not be able to sign an international prospect for more than $300,000 during the next two signing periods.