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Mueller is investigating whether Trump campaign officials worked with Moscow to try to sway the 2016 US presidential election.

The New York Times, in January article detailing an attempt by Trump to fire Mueller previous year that the President ultimately backed off from, said Trump claimed one of Mueller's conflicts stemmed from a dispute over fees at the Trump National Golf Club in Sterling, Virginia. Asked about what specific conflict the president was referring to in a Monday interview with CNN, Trump's personal attorney Rudy Giuliani described it as a "dispute" but left it to the president to further characterize his complaint.

Trump has denied any collusion for months.

Giuliani, who was minimizing former campaign chair Paul Manafort's role during four months as Trump campaign chair, then compared Trump's presidential campaign, which is being investigated by special counsel Robert Mueller over Russian Federation and its election hacking, to media outlets who might disseminate hacked information.

According to CNN, the investigation was started in July 2016 when Australian officials had tipped the FBI that George Papadopoulos, a former member of the foreign policy advisory panel to Trump's 2016 presidential campaign, told them about alleged Russian involvement with Hillary Clinton. "It's us, meaning the team of lawyers, including me, that have the most reservations about that". "I'm sure they are in bad faith about an interview at this point".

A knowledgeable source told NBC News that Cohen is willing to inform Mueller that Trump Jr. told his father about the meeting, contradicting Trump Jr.'s congressional testimony in May 2017.

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On Monday, Giuliani, in a series of confusing media interviews, also accused Cohen, as well as Cohen's lawyer, Lanny Davis, of incorrectly describing the attendees of various meetings that involved top figures in the Trump campaign around that same time period.

Trump also argued Mueller could not be impartial in the probe because he worked for a law firm that had represented Trump's son-in-law Jared Kushner.

Giuliani also sent a message to Mueller: It's time for the special counsel to "put up or shut up".

Speaking later Monday with CNN's Dana Bash, Giuliani said, "He owes us a response".

"It's not an order, it's the president's opinion", White House spokeswoman Sarah Sanders told reporters, adding that Trump wants the probe to "come to an end". Those sources would not say how long the Trump team's lawyers would take to respond. "There is no evidence of collusion that I've seen, but I think those sort of comments are not particularly helpful", Cornyn said.