Peskov, speaking to Russian state media, said a top-level meeting between Russia and the U.S. is not necessary at this stage.
"Hypothetically, it is possible, but there's no need for it right now," he said. "At the moment, there is a need for very painstaking work on the details of the settlement issue."
On Oct. 21, Reuters reported, citing sources, that a Putin-Trump summit would not happen soon, as the Kremlin rejected an immediate ceasefire in Ukraine.
The sources said the Kremlin sent a private communique — an "unofficial document" — to the U.S. government over the weekend, reiterating conditions for a peace deal in the war Putin’s regime launched against Ukraine.
One U.S. official said the communique restated Russia's demand for "control over all of Donbas."
"This position from the Kremlin effectively rejects President Donald Trump's view that the front lines should be frozen in their current positions," Reuters reported.
On Oct. 31, the Financial Times reported, citing sources, that the United States canceled a Trump-Putin meeting in Budapest due to Moscow's inflexible stance and tough demands on Ukraine outlined in the memo.
Sources familiar with the situation said the decision came after a tense phone call between top Russian and U.S. diplomats. Moscow did not back down from its demands, including Ukraine ceding more territory as a ceasefire condition.
The Kremlin's wishes, beyond territorial concessions, included a sharp reduction in Ukraine's army and guarantees that the country would never join NATO, the FT reported.
Trump remains willing to meet the Russians "there and when, in his view, progress can be achieved," the newspaper concluded.