The White House says there are still a “couple of points of disagreement” over the Ukraine peace plan.
The US and Ukraine said in a joint statement they had drafted a “refined peace framework” after discussions in Geneva on Sunday.
Europe tabled a counter-proposal to a US-Russia draft peace plan for Ukraine, both of which compromised of 28 points.
But speaking on Monday night, the Ukrainian president said: “As of now, after Geneva, there are fewer points – no longer 28 – and many of the right elements have been taken into account in this framework.
“There is still work for all of us to do together to finalise the document, and we must do everything with dignity.”
White House spokeswoman Karoline Leavitt said there were “just a couple of points of disagreement” and the revised plan would need to be put to the Russians.
“There is a sense of urgency,” she added. “The president wants to see this deal come together, and to see this war end.”
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Following a US-backed 28-point plan, Ukraine’s European allies drew up a counter-proposal.
The counter-proposal would halt fighting at present front lines, leaving discussions of territory for later, and include a NATO-style US security guarantee for Ukraine.
Moscow, which described the initial reported US plan as a potential basis for an agreement, rejected the European version.
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Mr Trump, who had accused Ukraine of not being grateful enough for US military support while the talks were under way, on Monday suggested the process could be moving in the right direction.
He had earlier given Ukraine until Thursday to agree to the plan, but US secretary of state Marco Rubio downplayed the deadline, saying officials could keep negotiating.
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In a message on his Truth Social platform, the US president said: “Is it really possible that big progress is being made in Peace Talks between Russia and Ukraine???
“Don’t believe it until you see it, but something good just may be happening.”
His latest comments come after he said Ukraine leadership had expressed “ZERO GRATITUDE” for US efforts in a longer post on Sunday.
Prime Minister Keir Starmer said Ukraine’s allies in the “coalition of the willing” – a broad term for about 30 countries supporting Kyiv – will hold discussions about the negotiations on Tuesday by video.
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Mr Trump on Monday held a phone call with China’s President Xi Jinping, where they discussed bringing the Ukraine war to an end, the White House said.
Mr Xi urged “all parties” in the conflict to “reduce differences”, according to Chinese state news agency Xinhua.
He reiterated that China supported all efforts conducive to peace.
China has remained a consistent ally of Russia throughout its invasion of Ukraine, and is the top buyer of Russian oil, along with India.
