Then on Thursday, the White House said Trump "disagrees" with Putin's offer to allow USA questioning of 12 Russians who have been indicted for election interference in exchange for Russian interviews with the former US ambassador to Russia and other Americans the Kremlin accuses of unspecified crimes.
In reaction to Putin's proposal, the howls of protest came fast and furious.
During the interview, Trump defended his efforts to build a personal relationship with Putin, despite Russian interference in the 2016 USA election. In exchange, U.S. Special Counsel Robert Mueller could send members of his team to watch Russian questioning of 12 Russian intelligence agents indicted by a U.S. grand jury last week in connection with hacking Democratic Party email accounts before the 2016 election.
Coats, who oversees and coordinates the CIA, NSA and other U.S. espionage bodies, likewise said at the Aspen Security Forum in Aspen, Colorado, that he was surprised at Thursday's announcement that discussions were underway over Putin visiting the White House later this year.
The US citizens Russia would like to question are related to Moscow's case against the financier Bill Browder, a fierce Putin critic who was instrumental in the US imposing sanctions in 2012 on top Russian officials accused of corruption.
On Thursday, Sanders said in a statement that Trump disagreed with the proposal. He said the summit notably made progress on U.S.
Mr. Coats also told the conference that he did not know what was discussed during the Trump-Putin meeting in Helsinki, at which only their interpreters were also present.
On Thursday Trump tweeted that he was looking forward to a second meeting with Putin.
In the following days, Trump attempted to quell the backlash.
On Wednesday, the Russian Prosecutor General's office listed Americans it wanted to question for "illegal activities", including Michael McFaul, who was US ambassador to Russia under Democratic former President Barack Obama. I have President Putin he just said it's not Russian Federation.
For example, one thing that occurred to me is, if Putin were to come in the fall, and we think the Russians are attempting to interfere in our election, did anyone ask, did anyone think about whether that could be going on at the same time?
During a conference at the Aspen Security Forum, the National Intelligence Director was interrupted to be informed of some breaking news coming from the White House Twitter account.
Take military spending: Trump sought to add $1.4 billion for fiscal year 2018 to the European Reassurance Initiative - a military effort to deter Russian aggression.
Mr Trump faced a backlash after contradicting his own intelligence chiefs at a joint post-summit news conference with Mr Putin by doubting Russian interference in the 2016 USA election.
It was one of the "most disgraceful performances" by an American president in memory, Republican Senator John McCain had said.
Mr Putin, in his first public comments about the summit, told Russian diplomats on Thursday that US-Russian relations are "in some ways worse than during the Cold War, ' but that the meeting with Mr Trump allowed them to start on 'the path to positive change". Standing alongside Putin, Trump called the idea "an incredible offer".
A Republican congressman and former Central Intelligence Agency officer, William Hurd, wrote an opinion piece in the New York Times late on Thursday entitled, "Trump is Being Manipulated by Putin".
Mr Trump tweeted a list of topics discussed at the summit, including terrorism, security for Israel, Middle East peace, Ukraine, North Korea and more, and wrote: 'There are many answers, some easy and some hard, to these problems... but they can ALL be solved!'