"This new report that President Trump openly admitted to the Russians that he "faced great pressure" from the FBI's criminal investigation that was "taken off" when he fired Director Comey is astonishing-and extremely troubling", Rep. Elijah Cummings (D-MD) said in a statement.
The Times cited a document summarizing the meeting which it said was provided by a government official.
President Trump's multi-city overseas trip is meant to bolster relations with Muslim and North Atlantic Treaty Organisation allies.
The Washington Post report underscored the seriousness of the investigation into possible collusion, which was taken over earlier this week by former FBI Director Robert Mueller, who was appointed as a special prosecutor. The news broke as the Washington Post reported that the investigation had identified a senior current White House official as a "significant person of interest".
When asked about the Justice Department appointing Mueller as Special Counsel, the President deflected the question. "That's taken off", Trump was quoted as saying. He has repeatedly denied any collusion between his campaign and Russian Federation.
The FBI's investigation has bedeviled the Trump administration, and the president personally. "I look forward to this matter concluding quickly". That would surely include Trump's firing of Comey.
Amid claims about his campaign's relations with Russian Federation and whether he tried to stop an Federal Bureau of Investigation probe into the issue, Mr Trump has claimed to be the most hounded president in history.More news: James Comey will answer questions about his firing publicly
More news: Trump lands in Saudi Arabia
More news: Donald Trump's leave the US on Friday for overseas trip
Separately, The Washington Post reported Friday that the FBI investigation into possible coordination between Russian Federation and the Trump presidential campaign was moving closer to the White House.
"No politician in history, and I say this with great surety, has been treated worse or more unfairly", he said.
President Trump embarks on his first global trip as commander-in-chief on Friday amid a slew of bad headlines that have shaken the White House. Several congressional Republicans said Wednesday that if Trump did suggest that Comey "let this go" regarding Flynn's Russian contacts, it was probably just a joke, light banter. That fact could significantly stymie Mueller's ability to conduct a sweeping investigation of Trump and his associates, according to Reuters.
The senior Democrat on the House Oversight Committee says the panel should request White House documents related to the May 10 Oval Office meeting between President Donald Trump and Russian officials - and subpoena them if necessary.
On Capitol Hill, Comey was clearly the man in demand, with three committees working to seat him at their witness tables soon, two in the Senate and one in the House.
The highly anticipated testimony of former FBI Director James Comey was announced by Senate Intelligence Chairman Richard Burr (R-N.C.) Friday.