But a video published by NBC News on Wednesday of the pair appearing to comment on women's bodies at Mar-a-Lago in 1992 appears to make this yet another example of the president denying the existence of an occasion that was recorded on tape.
Acosta was the US attorney in Miami when he oversaw a 2008 non-prosecution agreement that allowed Epstein to avoid federal trial but plead guilty to state charges and serve 13 months in jail.
A USA judge is expected to decide on Thursday whether American financier Jeffrey Epstein will remain jailed while he awaits trial on charges of sex trafficking dozens of underage girls or be released to his Manhattan mansion under house arrest. The network identified the women surrounding Trump at his club as cheerleaders for the Buffalo Bills, who were in town for a game against the Miami Dolphins.
"Uh-huh. I know. That's great", Trump responded, adding: "It was so open and nice".
However, in a 2002 profile of Epstein from NY magazine Trump was quoted as saying: "I've known Jeff for 15 years". Epstein will learn Thursday whether he'll be allowed to go home or spend the time before trial behind bars. "I wasn't a fan".
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It came only after the 39-year-old had a talk with himself about the state of the game he's loved since he was a kid. I want to keep reminding myself of that, that this is bigger than me.
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Common industry specs now include USB Type-C charging, Bluetooth 5.0 for Low Energy, and the 3.5mm headphone jack. The charger might also work on some new mid-range Samsung phones that could support the same charging speed.
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He also gave minutes to Reiss Nelson, Robbie Burton and Bukayo Saka against Arsenal's illustrious opponents. For example the one-to-one Nketiah against Sule [was encouraging].
An NBC crew was filming a party thrown by Donald Trump in an attempt to capture his "bachelor lifestyle" and shows him dancing with several National Football League cheerleaders. I haven't spoken to him in 15 years.
Mr Trump has admitted knowing Epstein, and in a 2002 interview called him a "terrific guy".
Morning Joe co-host Joe Scarborough can be heard scoffing at Trump and Epstein's seemingly cozy interaction at the November 1992 party.
Trump has admitted knowing Epstein, and in a 2002 interview called him a "terrific guy" who "likes handsome women as much as I do".
Trump is shown dancing with the women as music blares and pulling one of them closer to him and then patting her on her rear end. "No doubt about it - Jeffrey enjoys his social life". "He was a fixture in West Palm Beach", he said from the White House's Oval Office.