Aside from collusion, Mueller also reportedly wants to ask Trump a series of questions about former national security adviser Michael Flynn, former Federal Bureau of Investigation director James Comey, and Attorney General Jeff Sessions. "No questions on Collusion", Trump wrote in one post on Twitter.
He followed up with another tweet: "It would seem very hard to obstruct justice for a crime that never happened!"
It's not clear to me whether Trump's tweets this morning are motivated by a genuine belief that the leaked questions are somehow good for him because collusion is not the main focus or whether he simply doesn't understand that there are lots and lots of questions that Mueller wants to ask about that suggest major challenges ahead for the president and his team.
Mr Mueller was appointed as special counsel following Mr Trump's firing of Mr Comey last May.
Mr. Mueller is investigating alleged Russian interference in the 2016 presidential election, possible collusion with the Trump campaign and whether the President has unlawfully tried to obstruct the probe.
The language of the leaked questions, by the way, was written by Trump's legal team, but off a list of detailed topics Mueller's team said they would like to ask about.
Mr Trump's lawyer Jay Sekulow declined to comment, as did White House lawyer Ty Cobb. The documents, which became known as the Steele Dossier, also claim that the Trump campaign had ties to the Russian government. Given that the Times reports the list came from communications between the special counsel and the Trump legal team, however, it's entirely possible the leak came from the president's own side.
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Both leaders also talked about the importance of balanced and sustainable trade ties between India and China. The two-day summit, which wrapped up on Saturday, was held in the central Chinese city of Wuhan .
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Included in this category are questions about what Trump knew about the 2016 Trump Tower meeting where his son Donald Trump Jr., son-in-law Jared Kushner and then-campaign manager Paul Manafort met Russian attorney Natalia Veselnitskaya.
And he has denied having anything to do with such an effort.
The lawyers want to resolve the investigation as quickly as possible, but there is no agreement on how to do that.
Mr Cohen's business dealings are part of a separate FBI investigation.
Taking a break, to trash previous administrations in a tweet about a delegation he has sent to China "to begin talks on the Massive Trade Deficit that has been created with our Country", Trump returned to Mueller's questions. This question touches on Mr. Trump's true motivation for firing Mr. Comey: Was he dismissed because he was not loyal and would not shut down an F.B.I. investigation?
What knowledge did you have of any outreach by your campaign, including by Paul Manafort, to Russian Federation about potential assistance to the campaign?
Others who have been hot for the investigation ever since it was launched saw this as a brilliant negotiating tactic by Mueller, who has cornered the president by getting these questions out into the press. Mr. Comey's notes say that Mr. Trump raised concerns about the Steele Dossier and said he needed loyalty from his F.B.I. director.