During his Thursday testimony, Comey said he hoped Trump would produce the tapes if he had them.
Iohannis spoke of Trump's remarks last month about some members of North Atlantic Treaty Organisation not spending enough of defense, saying he liked the USA president's speech on the matter.
Trump, who said he's "100 percent" willing to testify under oath if Senate investigators ask, also rejected Comey's claim that he demanded loyalty from the Federal Bureau of Investigation director.
"One hundred per cent.I would be glad to tell him (special counsel Robert Mueller) exactly what I told you", Trump said at a joint news press conference in the Rose Garden of the White House with the visiting Romanian President. We are doing really well.
"I hardly know [Comey]".
"WOW, Comey is a leaker!"
Collins said that she supported issuing a subpoena to obtain the tapes if they exist, but noted that it would probably come from special counsel Robert Mueller, who is leading an independent investigation into Trump and Russian Federation, rather than from the Senate intelligence panel. Pressed on the issue, he insisted he wasn't "hinting anything", before adding: "Oh you're going to be very disappointed when you hear the answer, don't worry".
Donald Trump and his team already seemed prepared to moving towards a contest of credibility with former FBI Director James Comey, but at a White House press conference this afternoon, the president took the dispute to a whole new level.
Boris Johnson denies plot to topple May after UK election
It is due to present its platform for the next session in the Queen's Speech at the State Opening of Parliament on June 19. This is expected to have an impact on the Brexit negotiations, which are due to open with the European Union on June 19.
Earlier Friday, Trump said via Twitter that Comey's testimony Thursday before the Senate Committee on Intelligence supported his statements.
He also seized on Comey's revelation that he had directed a friend to release contents of memos he'd written documenting his conversations with the president to a reporter.
The House intelligence committee sent a letter Friday asking White House counsel Don McGahn whether any tape recordings or memos of Comey's conversations with the president exist now or had existed in the past.
Yet the President's eldest son appeared to back up Mr Comey's version of their conversation. And frankly, James Comey confirmed a lot of what I said.
President Donald Trump refused Friday to say whether his private conversations with fired FBI Director James Comey were taped - a matter at the heart of conflicting accounts of what passed between them - and asserted that nothing in Comey's testimony to the Senate showed collusion with Russian Federation or obstruction of justice. "I hope you can let this go".
Trump and his personal attorney have corroborated some of Comey recollections, but disputed that account.
In his first congressional appearance since being abruptly fired by Trump last month, Comey detailed months of distrust of the president and bluntly asserted that Trump had fired him to interfere with the probe of Russia's ties to the Trump campaign.
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