The US president has held at least two phone calls with his Russian counterpart about Ukraine over the past few weeks

US President Donald Trump has praised his work relationship with his Russian counterpart Vladimir Putin, describing their conversations as "very rational" and reiterating a desire to end the Ukraine conflict.

In an interview aboard Air Force One with the outlet OutKick on Saturday, Trump reflected on his history with Putin and the Ukraine conflict, describing himself as the only person capable of "stopping" the Russian leader.

"I don't think there's anybody in the world that [is] going to stop [Putin], except me, and I think I'm going to be able to stop him", he said. "We've had some very rational discussions, and I just want to see the people stop getting killed."

He warned that failure to mediate the conflict could lead to World War III, but noted that "it's somewhat under control." "I have a good relationship with President Putin and, actually, a good relationship with President Zelensky too. It'd be a great thing to be able to stop it. And I will say this, nobody else would have been able to."

After his inauguration, Trump actively sought to restore relations with Russia, which were at an all-time low, and to mediate a settlement of the Ukraine conflict. The Russian and US leaders have held at least two phone calls on the matter, while delegations from the two countries have held several rounds of direct talks.

During the last phone conversation on Tuesday, which lasted two and a half hours, Putin and Trump discussed the US president's idea of a 30-day ceasefire. Putin generally spoke favorably of the initiative but mentioned several major obstacles, including the need to establish a monitoring mechanism and prevent forced mobilization and rearmament in Ukraine during the ceasefire.

At the same time, Putin supported the idea of Moscow and Kiev halting strikes on each other's energy infrastructure facilities for 30 days.

Following the talks, Steve Witkoff, Trump's special envoy to the Middle East, suggested that a complete ceasefire in the conflict could be implemented within "a couple of weeks."

He later noted that Kiev had seemingly agreed to stay out of NATO - one of Moscow's key demands - adding that the key item on the agenda was now the fate of Crimea and the four other former Ukrainian territories that voted to become part of Russia.