In sworn testimony to the Senate on Thursday, Comey painted Trump as untrustworthy and admitted he asked a "friend", identified as a Columbia University law professor, to release a memo of his conversations with the president to the press.
WILLIAM BRANGHAM: Meanwhile, leaders of the House Intelligence Committee asked Comey for his notes and memos.
Surrogates for Trump and others on the political right have seized on Comey's comment about passing along the memo.
"No collusion, no obstruction", Trump told a White House press conference in reference to the twin controversies dogging his administration - accusations his aides colluded with the Russian effort to tilt the vote, and that he sought to block a probe related to the matter.
"I hardly know the man", Trump said. "Yesterday showed no collusion, no obstruction".
Schumer, appearing on CBS News' "Face the Nation" Sunday, said the president needs to "say what he means", after the president refused to say last week if such tapes exist.
With a single tweet, Trump also castigated Comey for giving an account of his conversation with the president to a lawyer who shared it with a news outlet.
Karl: Mr. President, I want to get back to James Comey's testimony.
And the president said he would be happy to talk to special counsel Robert Mueller about those allegations, telling reporters, "I'd be glad to tell him exactly what I just told you".
"We have a separate mission, in addition to finding out what went on, is how we fix it", he said.More news: Puerto Rico Backs Statehood in Referendum Boycotted by Opposition Groups
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KARL: And did he ask for a pledge of loyalty from you, that's another thing he said?
On Friday, Trump's former campaign manager Corey Lewandowski criticised Comey as not "man enough" for having leaked the memo via his friend rather than doing it himself.
Senator Angus King, a member of the Intelligence Committee, said committee staff will interview Kushner.
"Well, I didn't say that".
Schumer said he wants the president to testify before the Senate, after Mr. Trump on Friday said he would "100 percent" be willing to testify under oath.
The President also denied Comey's claims that he asked him to end the FBI's investigation into national security advisor Michael Flynn. And even if President Trump did intend to say he'd testify under oath, you probably shouldn't hold your breath waiting for it to happen.
The Trump administration has also highlighted the fact Comey stopped short of accusing the president of obstructing justice - a potentially impeachable offense. "The fact that he said when he got asked about Trump's involvement whether he may have colluded with Russian Federation, he said, 'I can't answer that here".
"I'll tell you about that maybe sometime in the very near future", Trump told reporters Friday when asked about the existence of any tapes. You know, in the middle of the summer previous year, he said he'd release them before the election.
Another Republican senator, Lindsey Graham of SC, told CBS he thought it would be "inappropriate for the president to testify publicly".