The US and Russia say they have agreed to discuss more prisoner swaps, a day after an American basketball star was exchanged for a notorious arms dealer.

Brittney Griner is back in the US following 10 months in a Russian jail.

The White House is under pressure to free ex-US Marine Paul Whelan, who has been in a Russian jail for four years.

Russian President Vladimir Putin said more swaps were "possible" - a rare example of US-Russian co-operation amid Moscow's war with Ukraine.

When asked at a summit in Kyrgyzstan on Friday whether other US-Russia prisoner exchanges could take place, Mr Putin responded: "We aren't refusing to continue this work in the future."

He added that "everything is possible" and noted that "compromises" had been found to clear the way for Thursday's high-profile exchange.

Griner, who was arrested in February for possessing cannabis oil at a Moscow airport, was traded for convicted weapons trafficker Viktor Bout, who was flown back to Russia after 12 years.

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Griner was taken to Brooke Army Medical Center in San Antonio, Texas, upon landing in the US, White House press secretary Karine Jean-Pierre said on Friday.

She did not say how long the Women's National Basketball Association (WNBA) star would remain at the facility.

The White House's John Kirby told US TV network MSNBC on Friday morning that the two-time Olympic gold medallist was in "good spirits" and "good health".

US President Joe Biden's administration has faced a backlash for not managing to bring home Whelan along with Griner.

The Michigan native was sentenced by a Russian court to 16 years in prison in 2018 on spying charges.

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There will be "discussions going forward" on how to get Whelan back home, US state department spokesperson Ned Price said on Friday.

"Our message to him has been the same," he told MSNBC