3:24 PM PT -- TMZ Sports has obtained more footage from the incident ... which shows the two ladies chatting with cops as they were escorted off the field.

It's kinda funny, Amberghini begs an officer to not "hate" her -- but based on his reaction, that probably wasn't the case.

The cop was a good sport about it all, saying they weren't going to get in too much trouble ... and admitted the crowd probably "appreciated" the whole ordeal.

As for whether the stunt made it to the Prime Video broadcast ... they got the bad news that the league makes an effort to keep acts like this off the air.

Two models made the 49ers vs. Rams game a bit more memorable -- hopping a fence and running around on the field in some skimpy Santa-ish outfits, and naturally, the stunt got 'em on the "naughty" list ... with cops.

The ladies -- Toochi Kash and Amberghini -- had lower-level seats Thursday night for the NFC West showdown ... but at one point in the action, they took matters into their own hands to get a field-level view.

The models -- who have social media followings in the millions -- rocked festive one-piece ensembles, white snow boots and Santa hats ... with the word "$treak" written on the back.

We're told the stunt was meant to make some noise for a meme coin that recently launched ... but stadium staffers on site were a bunch of Grinches.

Amber tried to dash onto the field first after jumping over the railing, but Levi's Stadium security chased her down right before she reached the playing field.

Toochi was caught rather quickly and held up a sign while security restrained her, but she remained jolly like St. Nick himself through it all. Well, Santa doesn't typically whip out a boob like Toochi did!