There won't ever be one, in fact, on a big league field while they're both still active.
Major League Baseball put a rule into effect this season that Joyce cannot umpire any games in which Galarraga's team plays. The edict came after Galarraga and Joyce co-authored a book about that infamous game in Detroit last June 2.
Joyce called Cleveland's Jason Donald safe at first base on what would've been the final out. After the Tigers won, Joyce apologized to Galarraga for getting it wrong.
Galarraga was traded from Detroit to Arizona in the offseason. He went 3-4 with a 5.91 ERA, and was sent to Triple-A Reno last month.
MLB has previously put special rules into effect regarding particular umpires and players.
Umpire Jim Wolf is not allowed to work home plate in any game where his brother, Randy, currently with Milwaukee, is pitching. Jim Wolf can umpire games in which Randy's team is playing.