Sean Hannity interviewed President Donald Trump shortly after the commander-in-chief finished his bilateral summit with Russian President Vladimir Putin.

Trump said that there's a lot on which America and Russia can work together, but that claims of collusion, interference and malignant activity between the two have clouded the prospect of "deals."

Trump said Putin also supports Israel and wants to tackle terrorism, but added that the Russian leader claims the United States' exit from the Iran deal represents a sticking point with the Kremlin.

"It's a shame we're talking about nuclear proliferation and we get questions [at the news conference] on [Special Counsel Robert Mueller's] witch hunt," Trump said.

Trump said he was surprised by Putin's offer to host Mueller's investigators in Moscow so they could prosecute their case against a dozen Russian nationals accused of interfering in the American election.

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"It's driven a wedge between us and Russia," said Trump, calling the Mueller probe a "phony" witch hunt being conducted by "13 angry Democrats." 

Trump said the two nations do not have an extradition treaty but that an agreement reached between Russia's first president, Boris Yeltsin, and President Clinton, allows for the two nations to cooperate on law enforcement issues.

"Robert Mueller's people could go with them," Trump said. Hannity said it is unlikely that the "13 angry Democrats" on Mueller's team will work with Putin.

Trump also spoke about embattled FBI Agent Peter Strzok, calling him a "disgrace to our country and a disgrace to the FBI."

"How he's still being paid [salary] is beyond belief," he said. "Who [else] did Peter report to?... Probably Obama."

Trump said Putin gets "angry" when he sees accusations that the Kremlin was involved in feeding damaging information about the New York Republican to help Hillary Clinton.

Earlier in the day, Trump drew bipartisan criticism for questioning the conclusion of U.S. intelligence that Russia hacked the DNC's emails in 2016, touting Putin's "strong" denial of the allegations just laid out by Mueller.

Watch more above and Part II below.

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