But its hopes of a gradual thaw in troubled U.S. -Russia relations now hang in the balance after Trump faced a squall of criticism at home over his failure to publicly confront Putin over Moscow's meddling in the 2016 election, something Russian Federation denies.
Putin's top foreign policy aide Yury Ushakov said that several days after the Helsinki meeting the Kremlin received a USA proposal to organise a new summit in Washington "at the end of the year".
However, in the White House'stranscript and YouTube video, Mason's question asking Putin whether he wanted Trump to win was edited out, and only the second part of his question - "And did you direct any of your officials to help him do that?" - was used, with altered version of Putin's reply edited to read and sound: "Yes, I did".
Trump made the comment Tuesday in a tweet, but gave no evidence for his claims. But lawmakers from both parties have continued to criticize him over his actions there, including siding with Putin over USA intelligence agencies over the Kremlin's 2016 election interference campaign. The president met with Putin on the sidelines of two global summits a year ago - first Germany, then Vietnam - and both times he invited his Russian counterpart to the White House, according to three current and former administration officials.
Graham said he'd "never allow it in the White House".
The apparent snub comes days after Trump expressed interest in holding a second meeting with Putin.
Trump's lawyers continue to negotiate on terms of an interview with Mueller and have offered to make the president available exclusively to answer questions about whether his campaign colluded with Russian Federation. Mr Trump appeared to respond "no" when asked by a reporter: "Is Russia still targeting the US, Mr President?"
Putin and Trump both denied the rumors at last week's summit.
Obviously there's no reason for the Russian government to want Republicans to lose power in the midterms - after all, they have a close ally in the president, and Congress at this point is little more than a rubber stamp for his agenda. "This is what he does", Trump said.
Trump is still facing backlash triggered by his last meeting with Putin in Helsinki on Monday, July 16.
The U.S. intelligence community concluded after the 2016 election that Russian Federation interfered in the 2016 election to hurt Hillary Clinton's campaign and help Trump win. Many on both sides of the aisle have criticized the US president for his remarks during the press conference that followed their private meeting. Bob Corker, R-Tenn., who set a contentious tone for the hearing by telling Pompeo that senators "are filled with serious doubts about this White House and its conduct of American foreign policy", later said those doubts are due to Trump's frequent contradictory statements on the Russian Federation probe and assaults on allies.