Yasiel Puig -- Insane Bar Brawl ... After MLB Star Pushes Sister

Yasiel Puig was involved in a massive brawl at a Miami bar after the Dodgers star got physical with his sister and struck several staffers ... TMZ Sports has learned.

We spoke with employees at Blue Martini in Miami, who tell us Puig was drinking with his sister Wednesday night when they got into a heated argument ... and things escalated when he pushed her.

Bar staffers immediately rushed over to break it up, but Puig turned on them ... getting physical with several staffers.

The crew was eventually able to get Puig outside where they say he brutally sucker punched the manager, setting off a brawl.

Several staffers rushed in to help ... jumping all over Yasiel until he was restrained.

We're told cops responded, but Puig was not arrested. Staffers are considering whether to press charges.

We reached out to Puig's camp, so far no word back.

3:45PM PT -- TMZ Sports spoke to a rep for the City of Miami PD who tells us a report was filed which notes Yasiel Puig suffered a "swollen left eye, and bumps and bruises to the face."

The report also says a bouncer suffered "a busted lip."

Cops say they believe the incident was "mutual combat" and both sides have told them charges will not be pressed.