One early predecessor of FEPCUBE was the Federation of Professional Cuban Baseball Players in Exile (Federación de Peloteros Profesionales Cubanos en el Exilio).

[1] Tony Pacheco attempted to organize a "Free Cuba" team to participate in the 1965 Amateur World Series, but it did not materialize.

[5] The team was expected to include Aroldis Chapman, Yandy Díaz, Lourdes Gurriel Jr., Yennier Canó, and other players who are all ineligible to play organized Cuban baseball.

[6] However, that tournament faced pushback from the Colombian government; FEBCUBE dropped its "Patria y Vida" slogan and agreed to play under the "Dream Team" name rather than with Cuban symbols.

[7][8] Members of the FEPCUBE team organized for the Intercontinental Series took part in an exhibition game against the Miami Dade College Sharks on January 18, 2024.