Since baseball’s modern era began in 1901, 27 players born in the United Kingdom have appeared in major league games, according to Baseball Reference. The Dominican Republic has produced a total of 749 major league players, including about 126 who have appeared in the majors this season. No country outside the United States has come close to producing more players than the Caribbean nation.

And so as the Yankees and the Boston Red Sox play the first regular-season M.L.B. games in Europe this weekend in hopes of reaching a new audience, several players from the Dominican Republic can’t help but feel left out.

“It’d be a good idea to play in the Dominican Republic,” said Mets shortstop Amed Rosario, a native of the country, in Spanish. “I’ve always asked myself about that. It would be a nice opportunity, not just for other Latinos but for the Americans to see our country.”

Since M.L.B. began tracking this in 1976, it has played nearly 230 games outside the mainland U.S. through the 2018 season, including regular season, spring training, exhibitions and all-star tours, according to a list provided by their office. Puerto Rico and Japan have been the most popular destinations, and Mexico has become a recent go-to: four series, including three during the regular season, have been played in Monterrey since the start of 2018.