The event takes place as Kyiv and its allies voiced alarm over what they saw as major concessions to the aggressor Russia.
On Friday, U.S. President Donald Trump said Ukrainian leader Volodymyr Zelenskiy had until Thursday to approve the 28-point plan, which calls on Ukraine to cede territory, accept limits on its military and renounce ambitions to join NATO.
For many Ukrainians, including soldiers fighting on the front lines, such terms would amount to capitulation after nearly four years of fighting in Europe's deadliest conflict since World War Two.
Once the plan was announced, there has been considerable confusion about who was involved in drawing it up. European allies said they had not been consulted.
“Before we start our work, it would be good to know for sure who is the author of the plan and where was it created", Polish PM Donald Tusk wrote on X on Sunday.
U.S. Special Envoy Steve Witkoff and Secretary of State Marco Rubio have been reported to arrive on Sunday for the talks.
"We hope to iron out the final details...to draft a deal that is advantageous to them (Ukraine)," a U.S. official said as quoted by the Reuters news agency.
"Nothing will be agreed on until the two presidents get together," the official said, referring to Trump and Zelenskiy, Reuters wrote.
Ahead of Rubio's departure for Geneva, Trump said his current proposal for ending the war is not his final offer.
National security advisers from France, Britain and Germany are joining the discussions, alongside the European Union. Italy was also sending an official.
European and other Western leaders said on Saturday the U.S. peace plan, which endorses key Russian demands, was a basis for talks to end the war but needed "additional work", as they seek a better deal for Kyiv before Thursday's deadline.
A German government source said a European draft peace plan, which is based on the U.S. proposal, had been sent to Ukraine and to the U.S. administration.
Before the talks, Zelenskiy warned that Ukraine risked losing its dignity and freedom - or Washington's backing – over the plan.
Russian President Vladimir Putin described the plan as the basis of a resolution to the conflict, but Moscow may object to some proposals in the scheme, which requires its forces to pull back from some areas they have captured.
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Source: Reuters