He then reacted to the US president's call with Mr Putin by saying the main issue was to "not allow everything to go according to Putin's plan" - after the US president also said it was unlikely Ukraine would get all of its occupied land back.
A Kremlin spokesperson said Mr Putin and Mr Trump had agreed to meet and the Russian president invited Mr Trump to visit Moscow.
Two sources familiar with the matter told Sky News' US partner network NBC News that national security adviser Mike Waltz and special envoy Steve Witkoff are on their way to Saudi.
Following his call with President Putin, Mr Trump posted on Truth Social saying: "We both agreed, we want to stop the millions of deaths taking place in the War with Russia/Ukraine.".
On Wednesday, President Trump said there had been an agreement to begin negotiations about ending the war in Ukraine, after holding phone calls with Vladimir Putin and Volodymyr Zelenskyy.
