In a joint statement released after talks in Geneva between US and Ukrainian delegations, the two sides said their discussion was "highly productive" and said they would continue in coming days.
In a separate statement, the White House said the new version included strengthened security guarantees, and that the Ukrainian delegation had said it "reflects their national interests."
US Secretary of State Marco Rubio, who led the talks, told reporters in Geneva that work remained to be done on questions including the role of NATO, but that his team had narrowed down unresolved issues in a 28-point peace plan for Ukraine championed by President Donald Trump. Rubio said the United States still needed time to address the pending issues. He hoped a deal could be reached by Thursday but suggested that it could also take longer.
US and Ukrainian officials were discussing the possibility of Zelenskiy travelling to the United States, maybe as early as this week, to discuss the US peace plan with Trump, two sources familiar with the matter said on Sunday.