The invitation was extended to Putin by Bolton earlier on Thursday, according to a National Security Council spokesman.
The president's pro-Russia remarks often put the intelligence chief, who has criticized Russian Federation for years, in a tough position.
The White House is guarding against the prospect that Director of National Intelligence Dan Coats could damage the president with a high-profile resignation after the nation's top spy chief has suffered a series of slights.
"That's not going to happen", U.S. Secretary of State Mike Pompeo told CBN News on Thursday. "That's gonna be special". When asked the Speaker of the House Paul Ryan disagreed with the charge when asked about Brennan's comments. "It wasn't always conciliatory in that meeting", Trump said, without elaborating.
The remarks put him at odds with USA intelligence over claims of Russian interference in 2016 election.
The announcement that Putin was in talks to visit Washington again comes amid special counsel Robert Mueller's investigation into Russia's interference in the 2016 U.S. elections.
Pompeo also said that Washington would not entertain the idea of allowing Putin's team to question or have physical custody of a group of prominent Americans Putin says conducted illegal activities in Russian Federation, allegations that Washington strongly denies. "Hopefully President Putin will have the 12 identified Russians come to the United States to prove their innocence or guilt".
Trump and Putin held two hours of closed-door talks with no one else present but the interpreters.
Putin said, "I want to confirm that Russian Federation is interested in this development and. will act accordingly", but neither leader was very clear about what the next steps would be.
He also said that it is important to "deal with the results" of the two men's summit in Helsinki this week before moving ahead too fast with another meeting.
'Coats has gone rogue, ' a White House official told the Washington Post.
In the video, as Secretary Nielsen delivers her "both sides" remarks, echoing the infamous words of President Donald Trump last August, Alexander moves his head down, nearly as if he's embarrassed or ashamed of her comments.
Trump has tweeted that he and Putin discussed Ukraine, but did not mention a referendum or provide details. "The Summit with Russian Federation was a great success, except with the real enemy of the people, the Fake News Media".
The Summit with Russian Federation was a great success, except with the real enemy of the people, the Fake News Media. "We are ready for discussions on this subject".
"There are many answers, some easy and some hard, to these problems ... but they can ALL be solved!" When Mitchell delivered the news - that the White House had invited Russian President Vladimir Putin to Washington - Coats leaned in as if he did not trust his ears.
Following the controversy, Trump had to correct his own words from the press conference which followed the summit.