CNN cited anonymous sources saying Cohen was willing to share that information with special counsel Robert Mueller, who is investigating possible collusion between Trump's campaign and Russian Federation.
"Trump claimed Friday morning that he did not know about the meeting beforehand and that Cohen is "[making] up stories".
The recording released by CNN features Cohen speaking to Trump about how to purchase the rights to the story of Karen McDougal, a former Playboy model who alleges she had an affair with Trump years ago.
Naturally, President Donald Trump's personal lawyer, Rudy Giuliani, was dispatched to cable news to undermine Cohen's testimony.
Democratic Sen. Patrick Leahy of Vermont called for Trump Jr.to testify in public and under oath to discuss his June 2016 meeting with a group of Russians at Trump Tower, according to Newsweek.
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And that could mean the president knew that Russian Federation was trying to help get him elected.
Cohen wasn't at the Trump Tower meeting and Cohen has not offered evidence to support the claim that Trump knew about the meeting.
In April, Trump said in a tweet that Cohen is "a fine person ... who I have always liked & respected". "Gee, I wonder if they helped him make the choice", Trump said. A statement from Donald Trump Jr. one day earlier made no mention of Clinton.
Legal experts told Business Insider last week that they found it freaky that Cohen felt the need to record a conversation with Trump, and some said they had never heard of an attorney secretly recording a client.
Nunberg said on NBC's "Meet the Press" that it was common knowledge among Trump's associates that Cohen recorded phone calls. The president insinuated Cohen might be making up stories in order to cut a deal after the Federal Bureau of Investigation raided his home and office and seized financial records of Cohen's taxi medallion business.
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Jay Goldberg, another former Trump lawyer, argued Friday on CNN's "Erin Burnett Out Front" that Giuliani "immeasurably" damaged his case against Cohen with the sudden shift in tone.
Cohen's tone has also shifted. He's under investigation by the FBI and the USA attorney's office in NY.
Mr. Mueller wants to question the president about the tweets.
Seventy percent of Republicans call the Russian Federation investigation a "witch hunt", while Democrats call it a "critical" matter of national security (77 percent).
Nunberg said during his time with Trump's campaign, he had known Cohen as Trump's loyal "fixer" and was surprised the president's longtime ally would release such information.
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"(T) he rigged Witch Hunt continues!" he complained, adding: "How stupid and unfair to our Country".