The document said that the conspiracy theorist, Jerome Corsi, understood that one of Mr. Trump’s associates, Roger J. Stone Jr., was “in regular contact with senior members of the Trump campaign, including with then-candidate Donald J. Trump,” when Mr. Stone asked Mr. Corsi to find out from the head of WikiLeaks what he had in store for the Clinton campaign.
Mr. Trump’s lawyers feared that Mr. Mueller was trying to cast Mr. Trump as an unindicted co-conspirator. Mr. Trump’s lawyers held off sending the answers and demanded a meeting with Justice Department officials and Mr. Mueller’s team, according to one person close to the president.
In a meeting at the Justice Department that was presided over by the principal associate deputy attorney general, Ed O’Callaghan, Mr. Trump’s lawyers — including Mr. Giuliani and Jay Sekulow — expressed concern to Mr. Mueller’s team. It was unclear what Mr. Mueller’s team said in response, but shortly thereafter Mr. Trump sent in his answers.
Mr. Corsi has declined to accept a plea deal and has not been charged with a crime.
Although Mr. Trump asserted on Saturday that he was “happy” with the latest filings, others did not agree. The Cohen information alone “puts impeachment on the table, and I can’t help but think that that is what this is barreling toward,” said Rob Stutzman, a California-based Republican strategist who has been critical of Mr. Trump. “Any other presidency at this point would have been done when their own Department of Justice filed something like that.”
But while the House can impeach a president on a majority vote, conviction in the Senate requires a two-thirds vote, meaning that unless at least 20 Republican senators abandon Mr. Trump, he is safe from removal. Despite the losses in the House last month, Republicans, if anything, have moved closer to the president.
While liberals are pressing Democrats to move on impeachment, party leaders remain wary, fearing a backlash. Representative Jamie Raskin of Maryland, a Democratic member of the Judiciary Committee, said the standard set during the impeachment of President Bill Clinton for lying under oath certainly puts Mr. Trump “in impeachment territory” because of the campaign finance issue.
“On the other hand,” he added, “in the compendium of Donald Trump’s offenses against the rule of law and the Constitution, this may not be in the top five.”