"We appreciate that your visit takes place right after the start of the Hungarian Presidency of the European Union. This is a clear indication of our common European priorities, of how important it is to bring a just peace to Ukraine," the Ukrainian leader said at a press conference .

While meeting in Switzerland last month, nearly 80 countries called for the “territorial integrity” of Ukraine to be the basis for any peace agreement to end the war. But some key developing nations did not join in and Russia did not attend the conference.

Nebenzia pointed to Putin’s offer on June 14 to “immediately” order a cease-fire in Ukraine and start negotiations if Kyiv begins withdrawing troops from the four regions annexed by Moscow in 2022 and renounces plans to join NATO.

Zelenskyy, who has vowed not to give up any territory, rejected what he called an ultimatum by Putin to surrender more land.

Two key advisers to Donald Trump have presented him with a plan to end Russia's war in Ukraine - if he wins the Nov. 5 presidential election - that involves telling Ukraine it will only get more U.S. weapons if it enters peace talks. The United States would at the same time warn Moscow that any refusal to negotiate would result in increased U.S. support for Ukraine, retired Lieutenant General Keith Kellogg, one of Trump's national security advisers, said in an interview.

The proposal would mark a big shift in the U.S. position on the war and would face opposition from European allies and within Trump's own Republican Party.