Trump "proposed 'Stay where we stay and begin conversation'," Zelensky told reporters during a brief visit to Oslo.
"I think that was a good compromise, but I'm not sure that Putin will support it, and I said it to the president," he said.
Efforts to bring an end to Russia's full-scale invasion of Ukraine, launched in 2022, appear to have once again hit a standstill.
In recent days, Trump has urged both Moscow and Kyiv to stop the war at their current battle lines.
Trump said Tuesday he had shelved plans for a summit in Budapest with Putin in the coming weeks because he did not want a "wasted" meeting.
Russian Deputy Foreign Minister Sergei Ryabkov meanwhile said Wednesday that preparations for a summit between Putin and Trump "are continuing".