The Times reported that it was unclear what Trump and Cohen discussed during their call but noted it "could be problematic for both men, as lawyers often advise their clients not to talk to each other during investigations".
The 90-minute hearing before Manhattan U.S. District Judge Kimba Wood focused on a request from Michael Cohen, Trump's lawyer, to have either his own team or a court-appointed special master take over from prosecutors the review of what materials seized from his office this week were protected by lawyer-client privilege.
Monday's events renewed concerns that Trump could try to act against Mueller, who was appointed past year by the Justice Department to investigate alleged Russian meddling in the 2016 election and potential collusion by Trump's campaign. It is possible that in the course of their probe into Mr. Cohen, investigators could uncover improprieties in Mr. Trump's business dealings.
An attorney for the president, Joanna Hendon, appeared as well, telling the judge that Trump has "an acute interest in these proceedings and the manner in which these materials are reviewed".
Cohen has come under scrutiny over a $130,000 payment he made shortly before the 2016 election to adult-film actress Stormy Daniels, who has said that she once had sex with Trump and was paid to keep quiet about it.
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President Donald Trump's personal attorney Michael Cohen has been under criminal investigation for months, largely centering around his business dealings, federal prosecutors in NY said in court documents obtained by ABC News. "She alone decided that she did not want to continue with the pregnancy and I offered to help her financially during this hard period", he said.
Wood has given Trump until 11 a.m. Monday to let the court know if the president will be making any argument different than that being advanced by Cohen regarding the treatment of the seized materials.
Cohen said Federal Bureau of Investigation agents who raided his home and office "were extremely professional, courteous and respectful", CNN quoted him as saying.
Cohen has denied wrongdoing. "Many people have said, 'You should fire him, ' " said Mr. Trump.
They also have asked regulators to investigate a $150,000 payment by the National Enquirer's parent company to a former Playboy model Karen McDougal, who also says she had an affair with Trump.
In the filing with a court in NY, prosecutors blacked out a section describing what crime they believe Trump attorney Michael Cohen has committed. The public is a close second.
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McDougal has said she carried on an affair with Trump in 2006 after the birth of his son. Trump has denied any collusion by his campaign.
The deal prohibited the Los Angeles woman from disclosing her relationship with Broidy, the Journal said.
After he viewed the program, Trump told advisers he wanted to get rid of officials in the Department of Justice who were working against him, including Attorney General Jeff Sessions.
The federal prosecutor's office "has already obtained search warrants - covert until this point - on multiple different email accounts maintained by Cohen, and has conducted a privilege review of the materials obtained pursuant to those warrants", the court documents state.
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The observation by the bench came after Dave said, "Four of your colleagues have publicly took note of the failure of the system". Indu Malhotra, Senior Advocate and Justice KM Joseph for appointment as judges of the Supreme Court .