Mr. Trump was uncharacteristically restrained on the day of Comey's explosive testimony before the Senate Intelligence Committee and has since unleashed some of his frustration over the actions and words of the fired Federal Bureau of Investigation director.
Mr Comey says Mr Trump fired him because of his Russian Federation inquiry.
During a news conference Friday, Trump said he'd have more information related to whether tapes exist at a later date.
In his public testimony, Comey did not disclose any links between Trump advisers and alleged Russian attempts to meddle in the 2016 USA presidential election, an issue that has distracted from White House policy goals such as overhauling the US healthcare system and cutting taxes. "Yesterday showed no collusion, no obstruction", Mr Trump said. He did say, under oath, that you told him to let the Flynn - you said you hoped the Flynn investigation he could let -PRESIDENT TRUMP: I didn't say that.
Comey also said that he believed the president had fired him because of the Russian Federation probe, told "lies" about his record at the bureau and sought to redirect the probe away from former national security adviser Michael Flynn.
A member of President Trump's personal legal team said he is "not going to speculate" on whether the president may order the firing of the special counsel investigating Russia's meddling in the 2016 election and its possible ties to Trump associates.
Trump also denied asking Comey for a pledge of loyalty. I hardly know the man. "And there would be nothing wrong if I did say it, according to everybody that I've read today".
"Well, I didn't say that".
Opposition Democrats have said that the leaks occurred after Comey was sacked and no longer a government official.
Asked what would happen if the tapes turned out to be real and Trump did not give them up, Collins responded, "I would be fine with issuing a subpoena, but that most likely would come from the special counsel's office".
At a press conference a day later, Trump declined to answer whether such tapes existed. "I'll tell you about it over a short period of time".
"I'm not hinting at anything", Trump said, but then he teased, "You'll be very disappointed".
Comey testified at a Senate hearing that he made memos after speaking to Trump on several occasions because he feared the president would lie about them. "And some of the things he said just weren't true".