Biden earlier confirmed that negotiations had resulted in the release of 16 people, including five Germans and seven Russian citizens.
They include Evan Gershkovich, a reporter for the Wall Street Journal who was arrested in 2023 on spying charges, Paul Whelan, a former US marine, Vladimir Kara-Murza, a journalist and Russian opposition figure, and Kurmasheva, a Russian-American reporter.
In exchange for 16 prisoners released from Russia, the US co-ordinated the release of eight Russian criminals including Vadim Krasikov, the “bicycle assassin” who killed a Georgian national in Berlin in 2019.
Biden hailed the deal as a “feat of diplomacy” that was a testament to having good allies who make “bold and brave decisions”.
The statement came almost two weeks after Biden stepped back from the presidential race following criticism of his age and mental acuity. He has been replaced at the top of the Democratic ticket by his Vice-President, Kamala Harris.