Rod J. Rosenstein, again, was in danger of losing his job. The New York Times had just reported that — in the heated days after James B. Comey was fired as FBI director — the deputy attorney general had suggested wearing a wire to surreptitiously record President Trump. Now Trump, traveling in New York, was on the phone, eager for an explanation.

Rosenstein — who, by one account, had gotten teary-eyed just before the call in a meeting with Trump’s chief of staff — sought to defuse the volatile situation and assure the president he was on his team, according to people familiar with matter. He criticized the Times report, published in late September, and blamed it on former deputy FBI director Andrew McCabe, whose recollections formed its basis. Then he talked about special counsel Robert S. Mueller III’s investigation of Russia’s interference in the 2016 election and told the president he would make sure Trump was treated fairly, people familiar with the conversation said.

“I give the investigation credibility,” Rosenstein said, in the words of one administration official offering their own characterization of the call. “I can land the plane.”