Fox News anchor Chris Wallace Christopher (Chris) WallaceNearly 40 Democratic senators call for climate change questions in debates Webb: Political Reality Check The Hill's Morning Report - Sponsored by Facebook - GOP closes ranks to fill SCOTUS vacancy by November MORE on Sunday challenged President Trump Donald John TrumpBiden on Trump's refusal to commit to peaceful transfer of power: 'What country are we in?' Romney: 'Unthinkable and unacceptable' to not commit to peaceful transition of power Two Louisville police officers shot amid Breonna Taylor grand jury protests MORE's attorney Rudy Giuliani Rudy GiulianiThe Hill's Campaign Report: GOP set to ask SCOTUS to limit mail-in voting CIA found Putin 'probably directing' campaign against Biden: report Democrats fear Russia interference could spoil bid to retake Senate MORE over Trump's claim that there is now proof he did not obstruct justice in special counsel Robert Mueller Robert (Bob) MuellerCNN's Toobin warns McCabe is in 'perilous condition' with emboldened Trump CNN anchor rips Trump over Stone while evoking Clinton-Lynch tarmac meeting The Hill's 12:30 Report: New Hampshire fallout MORE's investigation.

"Mayor, that’s not true," Wallace said on "Fox News Sunday." "The Mueller report makes it clear, especially on the issue of ... obstruction, that he’s leaving it to Congress."

"I agree with that," Giuliani interjected.

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"Good," Wallace replied before noting a passage in Mueller's report that he said "invites" Congress to look into the issue of whether Trump obstructed justice.

"And the president, in terms of Congress, hasn’t been exonerated at all on the issue of the obstruction,” Wallace said.

Trump made the "no obstruction" claim on Sunday morning in a tweet as well as in a speech on Thursday before the report dropped. He has also claimed "total exoneration" from Mueller, a word that is not used in the report.

But Giuliani on Sunday said that a person under investigation never gets exonerated.

"You do not apply a standard of exoneration to anyone," Giuliani contended, calling the report infected and "warped." "Whether it’s a president in an impeachment or — you can’t exonerate. Exoneration means proving a negative."

The comments led to a back-and-forth between Wallace and Giuliani about the reasons why Mueller advised that the obstruction decision be taken up by Congress.

"The issue is did the president obstruct justice or not," Wallace said before pointing to an example included in Mueller's report about Trump in 2017 directing former White House counsel Don McGahn to dismiss Mueller. McGahn refused to follow through on the request, according to Mueller.

"Had he done it, it would not have been obstruction of justice because there were very good reasons to fire Mueller," Giuliani responded, arguing that Mueller hired a staff that "had people that I would find very, very questionable as people that should be investigating Donald Trump."

The exchange comes just days after the Justice Department released a redacted version of Mueller's report into Russian interference and Trump. Mueller did not uncover evidence to conclude that collusion occurred.

The 400-plus-page report also noted that Mueller was unable to “conclusively determine” that no criminal conduct occurred in regard to obstruction of justice.