"I'll be speaking to President Putin on Tuesday. A lot of work's been done over the weekend," Trump told reporters on Air Force One during a Sunday night flight back to Washington from Florida.
"We want to see if we can bring that war to an end. Maybe we can, maybe we can't, but I think we have a very good chance," Trump said.
"We will see if we have something to announce maybe by Tuesday."
Although Russia failed in its initial goal to topple Ukraine with its invasion three years ago, it still controls large swathes of the country.
Trump said land and power plants will be part of the conversation around bringing the war to a close.
"We will be talking about land. We will be talking about power plants," he said.
Trump described it as "dividing up certain assets".
Trump is trying to win Putin's support for a 30-day ceasefire proposal that Ukraine accepted last week and which Putin says needs to meet crucial conditions to be acceptable.
Earlier, the Russian media outlet Izvestia reported comments made by Russia's Deputy Foreign Minister Alexander Grushko saying that any long-lasting peace treaty on Ukraine must meet Moscow's demands.
"We will demand that ironclad security guarantees become part of this agreement," Izvestia cited Grushko as saying.
"Part of these guarantees should be the neutral status of Ukraine, the refusal of NATO countries to accept it into the alliance."
Moscow is categorically against the deployment of NATO observers to Ukraine, Grushko also reiterated.
"It does not matter under what label NATO contingents were to be deployed on Ukrainian territory: be it the European Union, NATO, or in a national capacity," Grushko said.
"If they appear there, it means that they are deployed in the conflict zone with all the consequences for these contingents as parties to the conflict."
Grushko said that a deployment of unarmed post-conflict observers can be discussed only once a peace agreement is worked out.
"We can talk about unarmed observers, a civilian mission that would monitor the implementation of individual aspects of this agreement, or guarantee mechanisms," Grushko said.
"In the meantime, it's just hot air."
Ukrainian President Volodymyr Zelenskiy has accepted the proposed unconditional ceasefire and said on X his nation will "do everything to further intensify diplomacy".
Meanwhile, military chiefs from the "coalition of the willing" convened by British Prime Minister Kier Starmer and French President Emmanuel Macron will meet in London on Thursday to discuss plans for a Western peacekeeping force to be deployed to Ukraine in the event of a ceasefire.
Britain and France both have said that they were willing to send a peacekeeping force to monitor any ceasefire and Australian Prime Minister Anthony Albanese said his country was also open to requests.
Macron said in remarks published on Sunday that the stationing of peacekeeping troops in Ukraine is a question for Kyiv to decide - not Moscow.
with AP
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