Some prominent Trump critics, including former Defense Secretary Leon Panetta, have said that Trump's behavior at the summit indicates that Putin has compromising information - known as kompromat in Russian Federation - on the president.
USA intelligence officials have said Russia's efforts to undermine elections are continuing and now target the November 6 congressional races.
Democrats say the woman who translated for President Trump - and the notes she took during the meeting - could provide critical information about what transpired.
The summit was a controversial one, given the accusations of the two colluding around the 2016 Presidential Election - something that Trump rubbished at the press conference.
Trump said: "I let him know we can't have this". Republican Senator Jeff Flake of Arizona said of Sanders' interpretation. "We're also living in a grown-up world".
"He likes President Xi, he likes Erdogan - who I think is the most unsafe guy in the world", Bannon said, referring to President Recep Tayyip Erdogan of Turkey.
8 fatalities after duck boat capsizes at Table Rock Lake near Branson
The boat was carrying 31 people, he said, and dive teams from various agencies are scouring the waters for potential victims. He also said an off-duty sheriff's deputy working security for the boat company helped rescue people after the accident.
The president argued that "many people at the higher ends of intelligence" supported his stance on Russian Federation at the press conference and called out "haters" who are upset that the two leaders got along. "Just like I consider myself to be responsible for things that happen in this country", Trump said to CBS News.
The White House has struggled to contain the fallout from a news conference from Helsinki, in which Mr Trump, standing next to Mr Putin, said he "didn't see any reason" why Russian Federation would be involved in U.S. election meddling.
Confusion has circulated all this week after President Trump and Putin met in Helsinki, Finland on Monday.
"We wouldn't actually spend as much time and effort as we are if we didn't believe that [Russia is] still looking at us", she said.
He said the sentence should have been, "I don't see any reason why it wouldn't be Russian Federation", rather than, "I don't see any reason why it would be Russian Federation". The next day, Mr Trump claimed he had misspoke, and had meant to say he did not see any reason why Russian wouldn'tbe responsible for interfering in the 2016 vote.
Shaheen said the hearing could help lawmakers and the American people "determine what was specifically discussed and agreed to on the United States' behalf".