On the 4th of July (because when else?) Cohen teased a new project that seems to take a dig at the president in a Twitter video titled "A Message from Donald J. Trump".
Mr Cohen, whose home and office were raided by the FBI in April, is now under criminal investigation.
But Baron Cohen later told James Corden on The Late Late Show that Trump remained in the room for "about seven minutes", which is a long time compared to other unsuspecting participants in his show.
Variety reported Wednesday that the two have a long-standing feud, stemming from Baron Cohen's fake personality "Ali G".
The post includes older footage of Trump prior to his becoming President of the United States in which he lambasts Cohen: "This third-grade character named Sacha Baron Cohen, I only wish that he would've been punched in the face so many times".
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Sweden vs. Switzerland - Football Match Report
When he was required, Sommer excelled to plunge to his right to save when Berg hooked a shot towards the far corner. The last time Sweden made it this far at the World Cup was in 1994, when the team reached the semifinals.
Interestingly, one of the first replies to Cohen's clip comes from Pamela Anderson, who previously appeared as herself in Cohen's Borat! Right now, he'd be in a hospital... Or will the project skew closer to a mockumentary about the failed "university" itself? "It was disgraceful. He oughta be fired immediately".
An archive video of Trump attacking Cohen then plays, with the president branding the Englishman a "third-rate character". "Learn about being amusing".
"You don't know s-t", Trump adds. "Sacha graduates. Soon" - followed by the Trump University logo.
Baron Cohen took another shot at Trump in his 2016 action-comedy Grimsby, which featured a subplot in which Trump becomes infected with HIV after Daniel Radcliffe's blood is sprayed into his mouth from a gunshot.
Hopefully this tease by Sacha Baron Cohen's Twitter is more than just a joke and will actually be made into a full movie, as people are predicting.
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