One of the requests is about a meeting Mr. Trump had in May with Russian officials in the Oval Office the day after James B. Comey, the F.B.I. director, was fired. That day, Mr. Trump met with the Russian foreign minister, Sergey V. Lavrov, and the Russian ambassador to the United States, Sergey I. Kislyak, along with other Russian officials. The New York Times reported that in the meeting Mr. Trump had said that firing Mr. Comey relieved “great pressure” on him.

Mr. Mueller has also requested documents about the circumstances of the firing of Michael T. Flynn, who was Mr. Trump’s first national security adviser. Additionally, the special counsel has asked for documents about how the White House responded to questions from The Times about a June 2016 meeting at Trump Tower. That meeting was set up by Donald Trump Jr., the president’s eldest son, to get derogatory information from Russians about Hillary Clinton.