Senate Republicans are attempting to dissuade President Trump Donald John TrumpBiden on Trump's refusal to commit to peaceful transfer of power: 'What country are we in?' Romney: 'Unthinkable and unacceptable' to not commit to peaceful transition of power Two Louisville police officers shot amid Breonna Taylor grand jury protests MORE from holding another summit with Russian President Vladimir Putin anytime soon.

Many GOP senators regard Trump's meeting with the Russian leader in Helsinki earlier this week as a political disaster. Congressional Republicans have since come under intense pressure to renounce the president's embrace of Putin on the world stage, particularly his apparent acceptance of Putin’s denial that Russia interfered in the 2016 presidential election.

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When asked about the possibility of a second summit, Senate Republican Whip John Cornyn John CornynThe Hill's Campaign Report: GOP set to ask SCOTUS to limit mail-in voting Liberal super PAC launches ads targeting vulnerable GOP senators over SCOTUS fight Senate GOP faces pivotal moment on pick for Supreme Court MORE (Texas) hung his head and quipped, “maybe in a year or two.”

The body language of other GOP senators was equally telling.

“I don’t have anything to say about that today,” said Sen. Roy Blunt Roy Dean BluntSocial media platforms put muscle into National Voter Registration Day Senate GOP faces pivotal moment on pick for Supreme Court This week: Supreme Court fight over Ginsburg's seat upends Congress's agenda MORE (Mo.), another member of the GOP leadership, lowering his eyes and shaking his head.

The White House confirmed Thursday that Trump has asked national security adviser John Bolton to invite Putin to Washington for another rounds of talks in the fall.

"In Helsinki, @POTUS agreed to ongoing working level dialogue between the two security council staffs," White House press secretary Sarah Huckabee Sanders tweeted. "President Trump asked @Ambjohnbolton to invite President Putin to Washington in the fall and those discussions are already underway."

Republican senators made clear that they think rushing into another Helsinki is not a good idea.

Sen. Shelley Moore Capito Shelley Wellons Moore CapitoCongress must finish work on popular conservation bill before time runs out Second GOP senator to quarantine after exposure to coronavirus GOP senator to quarantine after coronavirus exposure MORE (R-W.Va.) called for a timeout on summits.

“At this point I think we need to clarify where we are,” Capito said, noting there’s still confusion about Trump’s comments and what he agreed to when he met with Putin one-on-one in the Finnish capital.

“It’s a little cloudy, so if he’s asking my advice I would say let’s let the dust settle here,” she added. “Let’s work on some of the issues they talked about.”

Republicans broadly expressed disappointment with the outcome of the Helsinki summit, where Trump gave equal weight to Putin’s election meddling denials and the U.S. intelligence community’s conclusion that Russia interfered in the 2016 election.

A new poll found similar dismay among constituents.

Only 32 percent of respondents approved of the way Trump handled the summit, according to a CBS News poll released Thursday. Thirty-nine percent of respondents said they felt less confident about Trump standing up for U.S. interests after watching him on stage next to Putin.

“That was not a good moment for our country,” said Senate Foreign Relations Committee Chairman Bob Corker Robert (Bob) Phillips CorkerHas Congress captured Russia policy? Tennessee primary battle turns nasty for Republicans Cheney clashes with Trump MORE (R-Tenn.), repeating what has become something of a mantra for him this week.

Trump tried multiple times to walk back his statements from the joint press conference with Putin, somberly declaring his acceptance of “our intelligence community’s conclusion that Russia’s meddling in the 2016 election took place.”

But Trump veered off script during his initial walk-back, saying the election interference “could be other people.”

“A lot of people out there,” he said, undercutting U.S. intelligence findings that Russia was the culprit.

Trump drew rebukes from Republican lawmakers later in the week when he said Russia doesn’t pose a threat to the United States, contradicting his own director of national intelligence.

Sen. Marco Rubio Marco Antonio RubioOvernight Defense: Pentagon redirects pandemic funding to defense contractors | US planning for full Afghanistan withdrawal by May | Anti-Trump GOP group puts ads in military papers Democrats step up hardball tactics as Supreme Court fight heats up Press: Notorious RBG vs Notorious GOP MORE (R-Fla.), a member of the Senate Intelligence Committee, said any claim that Russia doesn’t pose a threat is “just not true.”

“It’s the assessment of everyone I’ve spoken to in the field,” Rubio said.

The White House later said Trump’s threat-related remarks were misunderstood.

There are lingering concerns among GOP lawmakers over what Trump agreed to during the one-on-one meeting with Putin, when translators were the only other people in the room.

Russian ambassador to the United States Anatoly Antonov said Wednesday that Trump and Putin reached “important verbal agreements” during the summit, remarks that caught U.S. officials off guard.

Antonov said the leaders reached agreements on issues related to Syria and arms control.

Sen. Jeff Flake Jeffrey (Jeff) Lane FlakeHow fast population growth made Arizona a swing state Jeff Flake: Republicans 'should hold the same position' on SCOTUS vacancy as 2016 Republican former Michigan governor says he's voting for Biden MORE (R-Ariz.), a frequent critic of Trump’s policies, on Thursday backed a demand by Democrats that the White House turn over the contemporaneous notes of the interpreter who translated the private meeting with Putin.

“We’ve got to find out what the Russian ambassador was referring to yesterday when he said that important agreements were reached,” Flake said. “We don’t know. We have no idea. We’ve got to find that out.”

Flake and other congressional Republicans worry that Russia may be trying to claim secret deals to undermine NATO alliances.

Republican senators say Trump needs to be better prepared going into the next summit and deal with Putin more directly about U.S. grievances over Russian policies and actions.

“It’s a good thing to be meeting and to talk, but we’ve got to be sure the message is consistent, strong,” said Sen. Rob Portman Robert (Rob) Jones PortmanMcConnell locks down key GOP votes in Supreme Court fight Romney undecided on authorizing subpoenas for GOP Obama-era probes Congress needs to prioritize government digital service delivery MORE (R-Ohio). “And unless you’re straightforward with what the problems are, you’re never going to develop a better relationship.”

Senate Republicans hope to get more information about the possibility of a second-round summit with Putin when Secretary of State Mike Pompeo Michael (Mike) Richard PompeoTreasury sanctions individuals, groups tied to Russian malign influence activities Navalny released from hospital after suspected poisoning Overnight Defense: Pentagon redirects pandemic funding to defense contractors | US planning for full Afghanistan withdrawal by May | Anti-Trump GOP group puts ads in military papers MORE testifies before the Senate Foreign Relations Committee on Wednesday.

“I can assure you that next Wednesday, that when Secretary Pompeo comes in, there’s going to be a lot of interest,” Corker said.

When asked about the possibility of another summit in a few months, Corker responded, “Ask me after Wednesday.”