Day-long talks on Monday in Saudi Arabia between Russian and US officials were portrayed by Washington as a step in President Donald Trump's effort to end the three-year-old war.
A White House source said progress was being made in the Riyadh talks and a "positive announcement" was expected "in the near future".
A Russian source told Reuters the Riyadh talks had concluded late on Monday and a draft joint statement had been sent to Moscow and Washington for approval, with the parties aiming to release it on Tuesday.
CBS News reported the US and Russia were expected to release a joint statement on Tuesday morning on their talks in Riyadh.
Ukrainian President Volodymyr Zelenskiy said in his nightly video address on Monday that his officials in Riyadh would meet the US team following the Russia-US talks.
Ukraine's national broadcaster Suspilne cited a source in the Ukrainian delegation as saying the talks would take place on Tuesday.
Last week, Russia rejected a proposal by Trump for a full 30-day ceasefire in Ukraine, and it has agreed only to a moratorium on attacking energy infrastructure.
On Monday, Trump listed issues he said were on the table: "We're talking about territory right now. We're talking about lines of demarcation, talking about power, power plant ownership."
As the Russian-US talks got under way on Monday, Ukraine and Russia continued their attacks, with Kyiv saying a Russian missile strike wounded at least 88 people and Moscow accusing Ukraine of a targeted attack that killed two journalists and their driver.
"Instead of making hollow statements about peace, Russia must stop bombing our cities and end its war on civilians," Ukrainian Foreign Minister Andrii Sybiha said.
The Monday talks in Saudi Arabia follow phone calls last week between Trump Zelenskiy and Russian President Vladimir Putin and follow a meeting between Ukrainian officials and Americans in Saudi Arabia on Sunday.
Trump, who has scaled back US diplomatic backing for Ukraine and shifted publicly to a stance far less critical of Russia than that of his predecessor Joe Biden, says he aims to bring a quick end to the war.
The White House says the initial aim of the Saudi talks is to secure a maritime truce in the Black Sea, allowing the free flow of shipping.
But maritime battles have been a comparatively limited facet of the war since 2023 after Ukrainian attacks drove Moscow to move its navy far from contested waters, making it possible for Ukraine to reopen ports and resume exports.
"This is primarily about the safety of navigation," Kremlin spokesman Peskov said, adding a previous UN-backed agreement on Black Sea shipping had failed to deliver some of Moscow's demands.
Trump had expressed broad satisfaction over the way talks have been going and has been complimentary about Putin's engagement.
But major European powers doubt whether Putin is ready to make real concessions or will stick to what they see as his maximalist demands, which do not appear to have changed since he sent troops into Ukraine in 2022.
Putin says he is ready to discuss peace but that Ukraine must officially drop its NATO ambitions and withdraw its troops from the entirety of four Ukrainian regions that Russia has unilaterally annexed.
White House national security adviser Mike Waltz told CBS's Face the Nation on Sunday that the US, Russian and Ukrainian delegations were assembled in the same facility in Riyadh.
Beyond a Black Sea ceasefire, Waltz said the teams would discuss the "line of control" between the two armies, which he described as "verification measures, peacekeeping, freezing the lines where they are".
