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Alex Rodriguez Flies to Dominican Republic ... Onward, Upward with J Lo???

Things are looking up between Alex Rodriguez and Jennifer Lopez ... at least that's how A-Rod seems to view their relationship, now that they're in the same place.

@arod / Instagram

TMZ has confirmed A-Rod flew to the Dominican Republic, where J Lo has been shooting a movie, and Monday morning he posted video from their luxury digs down there. His caption said, "Happy Monday. New week,. New day. Onward. Upward."

BTW, he also tagged J Lo tag in his post.

Remember, A-Rod told a photog Saturday in Miami he is definitely NOT single. He and Jennifer told TMZ, "We are working through some things."

MEGA/BACKGRID

Sources with direct knowledge told us those issues they're working on do not involve a third person.

Now, we're told A-Rod's been going to the DR every few weeks while Jen's been there shooting -- so this current trip could've been planned all along. Still, the fact he's carried through with it ... is a sign they might work it all out, after all.

Stay tuned ...

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