All 12 recordings were turned over to the United States Attorney's Office for the Southern District of NY last Friday after lawyers for Cohen and Trump withdrew their claim that the recordings should be protected from prosecutors' eyes due to attorney-client privilege, said the filing by court-appointed watchdog Barbara Jones.
Late Thursday, Jones notified U.S. District Judge Kimba Wood, who appointed her, that Cohen, Trump or the Trump Organization had designated 4,085 items seized from Cohen as privileged among the most recent items she reviewed. The items had been under consideration by the special master, Barbara Jones, according to the filing.
Last week, the news broke that Cohen had secretly recorded a conversation with Trump in 2016 in which they discussed payments to a former Playboy model who said she had an affair with Trump. "Let me tell you this, if I'm wrong, then why don't we have Mr. Trump or his attorneys come forward today, right now and claim there are no other tapes?"
The Enquirer's payment to McDougal gave the tabloid the exclusive rights to any story she might ever wish to tell about having an affair with a married man.
Lawyer Rudy Giuliani said no campaign funding was involved in the discussion between Trump and Cohen, who has distanced himself from Trump in recent months as the FBI investigates Cohen's business dealings.
David Pecker, the head of AMI, is a longtime friend of both Trump's and Cohen's.
Wolf Blitzer spoke to Avenatti on Monday night, asking about a new CNN report saying Avenatti offered Cohen a truce if they agreed to take on Trump together.
Giuliani said the discussion of payment did not mean McDougal's claim of an affair was true and characterised it as an attempt to resolve false allegations that were "personally damaging" to Trump.
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One of Trump's attorneys, Rudy Giuliani, said in a statement Friday that the September 2016 recording is "powerful exculpatory evidence". Giuliani said the payment was never made.
"I know for a fact that this is not the only tape".
Avenatti added that he knows "the substance of some of the tapes".
Neither Davis nor Giuliani returned a request for comment.
Cohen's house, hotel and office were raided this spring.
In a weekend tweet, Trump called Cohen's practice of recording conversations "totally unheard of & perhaps illegal".
Avenatti did not go into detail as for what these "tapes" include, but apparently it doesn't appear to be good news for Donald Trump.
"Nothing in that conversation suggests that he had any knowledge of it in advance", he told The New York Times, which originally disclosed the recording Friday. Avenatti has been a nuisance for Cohen throughout his legal representation for Stormy Daniels, but he recently encountered Cohen and held an "extremely productive" chat with him a NY restaurant.