President Donald Trump's special envoy to Ukraine and Russia, retired Lt. Gen. Keith Kellogg, arrived in Kyiv on Monday, a senior Ukrainian official said, as anticipation grew over possible changes in the Trump administration's policies on the more than three-year war.

Trump last week teased that he would make a "major statement" on Russia on Monday. Trump made quickly stopping the war one of his diplomatic priorities, and he has increasingly expressed frustration about Russian President Vladimir Putin's unbudging stance.

Putin "talks nice and then he bombs everybody," Trump said late Sunday, as he confirmed the U.S. is sending Ukraine badly needed U.S.-made Patriot air defense missiles to help it fend off Russia's intensifying aerial attacks.

A top ally of Trump, Sen. Lindsey Graham, R-S.C., said Sunday that the conflict is nearing an inflection point as Trump shows growing interest in helping Ukraine fight back against Russia's full-scale invasion. It's a cause that Trump had previously dismissed as being a waste of U.S. taxpayer money.

Also, NATO Secretary-General Mark Rutte was due in Washington on Monday and Tuesday. He planned to hold talks with Trump, Secretary of State Marco Rubio, and Defense Secretary Pete Hegseth as well as members of Congress.

Talks during Kellogg's visit to Kyiv will cover "defense, strengthening security, weapons, sanctions, protection of our people and enhancing cooperation between Ukraine and the United States," said the head of Ukraine's presidential office, Andrii Yermak.

"Russia does not want a ceasefire. Peace through strength is President Donald Trump's principle, and we support this approach," Yermak said.