USA special counsel Robert Mueller, who is investigating collusion between the Trump campaign and Russia, had last week indicted 12 Russian nationals for their interference in the 2016 U.S. presidential election.
White House officials did not immediately respond to a request for comment, Bloomberg reported.
Ambassador Anatoly Antonov revealed the discussions amid confusion and concern in the US about what the two presidents agreed behind closed doors.
Pelosi labels Putin a tyrant and a thug and says Trump's "frightened fawning over Putin is an embarrassment and a grave threat to our democracy". "We are ready for discussions on this subject".
"The added funds will provide equipment to support ongoing training programs and operational needs, including capabilities to enhance Ukraine's command and control, situational awareness systems, secure communications, military mobility, night vision, and military medical treatment", the Pentagon said in a statement.
The invitation seemed to surprise Trump's own Director of National Intelligence Dan Coats, who was told about it during a live interview at an event in the U.S. state of Colorado.
"OK", he continued, pausing for a deep breath.
He laughed and said: "That's going to be special".More news: Short Treks: CBS All Access Orders Star Trek: Discovery Spin-off
All this on top of a Europe trip in which Trump criticized North Atlantic Treaty Organisation members for not sharing mutual defense burdens and described the European Union as a trade "foe" - attacks on European institutions that Russian Federation opposes.
The White House backtrack came just before the Senate voted overwhelmingly against the idea.
Asked if he had thought about resigning, Coats said simply: "That's a place I don't really go to publicly". "They should stop invading their neighbors".
"The sentence should have been: "I don't see any reason why I wouldn't" or 'why it wouldn't be Russian Federation", he told reporters at the White House. Republicans, even anti-Trump ones, are resisting the effort.
Democratic lawmakers erupted into chants of "USA!"
The original statement saw him say: 'I have president Putin, he just said it's not Russian Federation. White House press secretary Sarah Sanders claimed later in the day that Trump was saying "no" to answering additional questions.
U.S. Secretary of State Mike Pompeo told ABC Radio Australia on Thursday the two leaders "broke some ground across a broad range" of issues. In a story explaining the cover, the editors said the merged image represents the conflict between the question of alleged collusion with Russian Federation and the question of whether Russian Federation attempted to influence the 2016 presidential election.More news: President claims victory in battle over North Atlantic Treaty Organisation cash
Trump has come under widespread domestic criticism about the meeting. He restated the USA intelligence assessment about Russian meddling and Moscow's "ongoing, pervasive efforts to undermine our democracy".
In November 2001, Putin flew to the U.S. on a state visit and met with George Bush in the White House.
House Democratic Leader Nancy Pelosi on Friday urged House Speaker Paul Ryan to make it clear that Putin won't be invited to address Congress if he comes to Washington.
Putin would be setting foot inside the building for the first time in more than a decade.
He also reiterated denials of Russian meddling in the 2016 US presidential election.
Mr Putin has also described the summit as "successful" but warned "there are forces in the United States that are prepared to casually sacrifice Russian-US relations".
Get the Monitor stories you care about delivered to your inbox. She had said on Wednesday the proposal was being considered. She said at the Aspen Forum that Russian Federation is attempting to "cause chaos on both sides".
He also said that North Korean exports have declined dramatically, putting economic pressure on North Korean leader Kim Jong Un.More news: Trust vote debate: Breakdown of no-confidence motion against Modi government