With Ben Affleck back in the picture, the Boston Red Sox clearly see an opportunity to land a huge (possible) free agent ... Jennifer Lopez!
Yeah, we know ... Jenny's from the Bronx, but since she split with A-Rod, it's hard to see her rooting for the Yankees any time soon.
Plus, the NY Mets rejected her offer to buy the team a few months ago -- guessing she ain't supporting them either.
So, leave it to Boston to make a move to win over one of the most famous celebs in the world ... and they might have a real shot!