The report, published by The Wall Street Journal, quoted sources familiar with the matter as saying on Friday that Trump's lawyers were considering telling Müller that Trump might agree to conduct an interview based on multiple considerations.
A federal committee led by US special adviser Robert Mueller has accused Russia of violating United States law and intervening in the presidential election for Donald Trump at the expense of rival Hillary Clinton.
The report said that the agreement includes the commitment of the lawyer to set a date to end the part of the investigations into the Russian intervention in the US presidential elections for 2016.
Proposals include a 60-day deadline for the interview, the report said.
He noted that among the considerations also reached the law team to Tramp agreement with the "Muller" on his questions to the President, which is expected to focus on the dismissal of national security adviser, "Michael Flynn" and former Director of the FBI, "James Komi."
Last December, the former US president's adviser admitted wrong information in the case of communicating with Russian officials, but Trump commented on the statements at the time, saying he had expelled Michael Flynn from office for lying to Vice President Mike Pines and the FBI.
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