New York (CNN) A day after Deputy Attorney General Rod Rosenstein's fate consumed headlines during the first day at the United Nations General Assembly, President Donald Trump sought to tamp down on talk of his domestic political crises as he addressed world leaders on Tuesday.

"I'm meeting with Rod Rosenstein Thursday," the President said as he entered UN headquarters. "And today, I'm doing other things."

It was a reflection of how the President is working to rise above, for now, the swirl of chaos that continues to consume Washington. Trump is seeking to put on a commanding air at the annual UN gathering even as he battles a pair of controversies: the possible exit of Rosenstein, who oversees the Russia investigation, and sexual misconduct allegations against his Supreme Court nominee Brett Kavanaugh

On Monday, it was those stories -- and not Trump's attempts to engage world leaders on issues such as North Korea and trade -- that drew attention. The White House said Trump would put off deciding Rosenstein's fate until at least Thursday, when the two men will meet in person.

After Rosenstein's dramatic visit on Monday to the White House, where he had an unexpected speakerphone call with Trump in New York, his fate remains uncertain. But two officials said on Tuesday it would be a mistake to assume he will be ousted after his upcoming meeting with the President.

Read More