President Donald Trump's personal lawyer has acknowledged to NBC News that he met privately in New York last month with a controversial Russian-born Trump associate and a member of Ukraine's parliament, but disputes a New York Times report that the men gave him a peace plan for Ukraine that he delivered to then-National Security Adviser Mike Flynn.

The episode is drawing scrutiny because of the intense interest in any dealings by Trump associates having to do with Russia or Russia-related issues.

The Times reported that the meeting was called to discuss a peace plan being pushed by a Ukrainian lawmaker, Andrey Artemenko, who is associated with a former Ukrainian leader backed by Russian president Vladimir Putin and advised by Paul Manafort, Trump's former campaign chairman.

Manafort is the subject of an FBI inquiry over his Ukraine dealings, and the FBI is also investigating whether any Trump associates colluded with the Russian campaign to interfere in the U.S. presidential election.

In an interview with NBC News Monday, Michael Cohen confirmed that Felix Sater, a former Trump associate with a criminal past, asked him to come to a meeting in New York last month, and brought along Artemenko.

"I acknowledge that the brief meeting took place, but emphatically deny discussing this topic or delivering any documents to the White House and/or General Flynn," Cohen said. "I didn't see Gen. Flynn while I was at the White House, and I didn't spend two seconds talking about this, not even one second."

The Times told NBC News that it stood by its story, saying Cohen told the newspaper he did take a sealed envelope to Flynn's office.

The Times said the peace plan was designed to lead to the lifting of international sanctions against Moscow over its seizure of Crimea, a Ukrainian territory.

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Cohen is a long-time lawyer for both Trump and his business organization. Sater worked on real estate projects with Trump's company.

"I've known Felix for years," Cohen said. "I received a phone call: 'Hey Mike, you have a few minutes? Can I meet you for coffee? You mind if I bring a friend?' Little did I know it would be a guy who wants to run for president of Ukraine."

Cohen said he had no financial interest in the meeting and was not paid to attend.