US President Donald Trump said he and his Russian counterpart Vladimir Putin agreed during a "good and productive" call to work quickly toward a ceasefire in Ukraine, after agreeing to a halt to attacks on energy facilities but not a full truce.

Trump wrote on his Truth Social network that "it was agreed that we would work quickly to achieve a comprehensive ceasefire and ultimately end this very terrible war between Russia and Ukraine."

Putin demanded from his counterpart Trump a "complete halt" to Western military aid to Ukraine, the Kremlin announced.

The Russian presidency said in a statement following the call between the two leaders, "It was emphasized that the basic condition for preventing the escalation of the conflict and working to resolve it through political and diplomatic means must be a complete cessation of Western military assistance (to Ukraine) and the supply of intelligence information to Kyiv."

The Kremlin also announced that Putin had set conditions for a ceasefire in Ukraine, including an end to the country's "rearmament."

In a statement, he said, "The Russian side emphasized a number of key points related to effective monitoring of a possible ceasefire along the entire front line, the need to end the mandatory mobilization in Ukraine, and the rearmament of the Ukrainian armed forces."

For its part, the White House announced that Trump and Putin had agreed to a 30-day truce in Ukraine, including "energy and infrastructure," and that talks should begin immediately to reach a broader truce.

The White House said in a statement that "these talks will begin immediately in the Middle East," also noting that improving relations between Washington and Moscow would entail "tremendous economic and geopolitical benefits."

Putin told his counterpart Trump of his readiness to work with the United States on "possible ways to resolve" the conflict in Ukraine, the Kremlin announced.

The Kremlin said, "The Russian president declared his readiness to work with his American partners to thoroughly consider possible paths to a settlement that should be comprehensive, stable, and sustainable," describing the phone call between the two presidents as "detailed and frank."