An ABC News/Ipsos poll found a majority of the American public has a great deal or good amount of trust in Biden to negotiate on the country's behalf with other world leaders.

That level of trust -- 52% -- roughly tracks the president's overall approval rating, which averages 53%, according to FiveThirtyEight's tracker, and is about equal to the level of trust Americans have in Biden to negotiate with Russian President Vladimir Putin specifically. Still, 3 in 10 Americans, including 70% of Republicans, say they do not trust Biden at all to negotiate with his foreign counterparts, and about 2 in 10 (18%) Americans say they trust the president just some.

A slightly larger majority (57%) say they have confidence in the president to do the right thing regarding world affairs, while about 4 in 10 (42%) do not have much or any confidence in Biden to do so, according to the poll, which was conducted by Ipsos in partnership with ABC News using Ipsos' KnowledgePanel.

Compared to the level of trust and confidence in his predecessor, former President Donald Trump, at roughly the same point in his administration, Biden's marks are noteworthy and even more so when factoring in the current level of partisan division in the United States.

-ABC News' Quinn Scanlan

Putin indicated on Friday that he'd be willing to talk about a potential "prisoner swap" between two U.S. Marine veterans, Trevor Reed and Paul Whelan, for Russians being held in the U.S.

Russian officials have indicated they would like to trade Reed and Whelan for two Russians held in the U.S.: Viktor Bout -- one of the world's most notorious arms dealers and dubbed "the Merchant of Death" — and also Konstantin Yaroshenko, a pilot currently serving a lengthy jail sentence for a drug smuggling conviction.

David Whelan told ABC News Live Prime anchor Linsey Davis on Tuesday that his brother, who is manufacturing clothes in a Russian labor camp, is a hostage and that it's difficult to know when that might come to an end.

"I'm always hopeful that he'll be released, but I don't have any idea what the timeline might be," David Whelan said. "The Biden administration has been very outspoken about Paul's case and we've appreciated that as a family. It's given us hope and it's given him hope."

"But he's still a hostage and there's no evidence yet that the Russians are willing to exchange in any exchange for him," David Whelan continued. "They said last week -- the Russian government did — that they would not consider Paul for exchange."

Whelan's family released an audio message from him on Monday recorded from the prison camp in central Russia where he is held. In it, he appealed to Biden to help free him.

"Please bring me home to my family and my dog Flora where I belong. Thank you, Mr. President, for your commitment to returning me home and bringing this deplorable hostage situation to an expedient conclusion," Whelan said in the recording that his family said was made on May 30.

-ABC News' Haley Yamada and Patrick Reevell

When Putin meets Biden on Wednesday in Switzerland, experts in Moscow say for all their differences, the two leaders want something similar from their first summit: to cool things down.

The U.S. and Russia's relations are the worst they have been since the Cold War and since 2016 in particular seem locked in almost permanent crises.

Biden has said he wants a more stable and predictable relationship with Russia, one that would allow it to focus on other foreign policy priorities that are more important to it, like taking a harder line with China. The Kremlin for its part has faced a continuous and intensifying barrage of sanctions-- the latest in April-- and with its crackdown on opposition at home and aggressive actions abroad is increasingly becoming a pariah with western countries.

Since coming to office, Russia has appeared to want to get Biden's attention. The president offered Putin the summit after Russia massed thousands of troops on Ukraine's border in April.

But now, having got Biden to the table, analysts said Putin has a clear proposal to deliver in Geneva: stay out of Russian domestic politics and Russia might act less troublesome abroad.

"The Kremlin wants to transition to a respectful adversarial relationship from a disrespectful one we have today," said Vladimir Frolov, a former diplomat at Russia's embassy in Washington and now a commentator on foreign affairs.

"That is, it wants to be treated the same way the Soviet Politburo was treated by the US in 1970-80s," Frolov told ABC News. "Meaning no name-calling" — such as Biden calling Putin a "killer" — "no personal sanctions on the leadership, no democracy lectures, regular personal summit meetings; respectful tone of discussions, no tangible support for Russian opposition."

It will not be an invitation for détente but instead to return to the later years of the Cold War when Putin was a KGB agent and the Soviet Union and the U.S. saw each other as enemies but tried to maintain a predictable relationship. And, crucially, where Russia was treated as an equal.

"For this, the Kremlin is prepared to promise to behave more responsibly," Frolov said.

"This seems to be in line with what the White House sees as a desirable deliverable," he continued. "So unless one of the leaders stormed out of the meeting shouting expletives, the summit would be a major success."

-ABC News' Patrick Reevell