TIME Magazine morphs Trump, Putin's faces on cover for 'Summit Crisis' story

US President Donald Trump has asked his national security adviser to invite Vladimir Putin to Washington in the autumn.

"It is a proposal that was made in sincerity by President Putin, but President Trump disagrees with it", Sanders said.

"I've told some of the members, I know Jeanne Shaheen, I talked to her yesterday on the floor, other members have brought it up", he said.

The Russian ambassador was cited as saying it would be good to organize a meeting between Russian Defence Minister Sergei Shoigu and USA counterpart James Mattis, adding that a group of US lawmakers are also planning to visit Russia.

In a television interview taped on Thursday, Trump said that he and Putin, who USA intelligence agencies say directed interference to sway the 2016 vote toward Trump, had a rapport during their meeting in Helsinki.

In return, Mr Putin wanted permission for Russian Federation to interview Americans the Kremlin accuses of unspecified crimes. Trump's answer seemed to say he thought Russian election meddling was over.

On CNBC, Trump said his administration has put sanctions on Russia and kicked Russian diplomats out of the United States.

Huckabee Sanders also announced that the White House would not proceed with a plan to extradite U.S. citizens to Russian Federation for questioning in exchange for Russian Federation allowing its intelligence officials to be questioned as part of the Mueller probe.

Mr Putin made what Mr Trump called an "incredible offer" during a joint press conference concluding their summit in Helsinki, for which Mr Trump received bipartisan condemnation at home.

Russian Federation was also seeking to interview Michael McFaul, another Putin critic who was U.S. ambassador to Moscow under President Obama.

"There has never been a president as tough on Russian Federation as I have been", he said.

In a sharp rebuke to the White House, the resolution passed with unanimous support from both parties, 98-0.

But Coat's remarks at the came amid reported Russian claims that the two leaders reached unspecified agreements in their meeting.

This was during Putin's first term as president and then US President Bush said of the meeting: "This is a new day in the long history of Russian-American relations, a day of progress and a day of hope".

On Thursday Trump tweeted that he was looking forward to a second meeting with Putin.

Foreign policy analysts also pushed back on Trump's view that the only alternative to a "good" relationship with Putin is war.

He added that he did not yet know what Mr Trump and Mr Putin discussed during their meeting, at which only their interpreters were also present. "We are doing much better than any other country!"

Defending his conduct, Trump told CNBC that "fools from the media" and other critics wanted him to berate Putin over Russian interference in the 2016 US presidential election.

Following his summit with Vladimir Putin, President Trump has been fighting accusations he failed to stand up to the Russian leader.

"We will see how things develop further", Putin said, evoking unnamed "forces" in the USA trying to prevent any improvement in relations and "putting narrow party interests above the national interest".

"I think that Trump derangement syndrome is a real thing".

Earlier in the press conference, asked if he held Russian Federation responsible in any way for bad relations between the two nations, Trump said both shared some blame. "Problem is", Trump said.

Last week TIME magazine used an image of Mr Trump towering over a crying child with the words "Welcome to America" to depict his administration's policy of separating families crossing the U.S. border. Putin has denied such interference.