Steve Witkoff, who has already met with President Putin three times this year, has reportedly been tasked with getting Moscow to agree to a Ukraine peace framework

US President Donald Trump's administration is planning one more meeting between special envoy Steve Witkoff and senior Russian officials to get Moscow on board with its vision for peace in the Ukraine conflict, CNN has claimed, citing an anonymous source.

Witkoff has already met with Russian President Vladimir Putin three times this year as the US president tries to broker a ceasefire between Kiev and Moscow.

In its article on Saturday, CNN further quoted its source as saying that Washington's plan, which was reportedly presented to Ukrainian officials and several European leaders during a top-level meeting in Paris on Thursday, envisages a ceasefire along the current front line. The US government also supposedly signaled a willingness to recognize Crimea as Russian territory.

Commenting on his meeting with Putin in Moscow last Friday, Witkoff told Fox News on Monday that the nearly five-hour talks were "compelling" and that the Kremlin is seeking a lasting solution to the Ukraine conflict.

Trump's special envoy claimed that Moscow and Kiev "might be on the verge of something that would be very, very important for the world at large."

According to the US official, any potential peace deal would include the recognition of Crimea, the Donetsk, and Lugansk People's Republics, and Kherson and Zaporozhye Regions as part of Russia.

Kremlin spokesman Dmitry Peskov told reporters on Tuesday that while there were "no clear outlines of any agreement yet," Moscow values the "constructive and substantive" contact with the US.

Witkoff's remarks did not sit well with Ukrainian leader Vladimir Zelensky, who on Thursday accused Trump's envoy of "wittingly or unwittingly spreading Russian narratives."

He reiterated that Kiev will "never recognize any temporarily occupied Ukrainian territory as Russian."

Russia has maintained that it is open to peace talks with Ukraine in principle, as long as its key security concerns are addressed. Moscow demands among other things that Kiev renounce its NATO aspirations and recognize the territorial "realities on the ground."

The Kremlin has insisted it will not accept a mere freeze of the conflict.

On Saturday, President Putin announced a temporary Easter truce effective from 18:00 Moscow time through midnight on Sunday night.

While he expressed hope that Ukraine would reciprocate, he also stated that the "Kiev regime has violated the agreement on pausing energy infrastructure strikes more than a hundred times."

Putin argued that Ukraine's reaction to the ceasefire would be a clear indicator of whether Kiev is serious about wanting to achieve peace.