Kremlin spokesman Dmitry Peskov said the US-Russia talks held in Riyadh were a "very, very important step" towards reaching a settlement on the Ukraine war, nearing its third year.
"In order to carry out, figuratively speaking, resuscitation measures, diplomats will now begin to work in light of the agreement (Russian Foreign Minister Sergei) Lavrov reached yesterday with (US Secretary of State Marco) Rubio," Peskov was quoted by state media as saying.
"But this is the first step... Naturally, it's impossible to fix everything in one day or a week. There is a long way to go," he added.
The talks in Riyadh were the first time US and Russian officials met to discuss ways to halt the deadliest conflict in Europe since World War Two. No Ukrainian or European officials were invited. Kyiv has said it will not accept any deal imposed without its consent.
Earlier Trump dismissed Ukraine's concern about being left out of US-Russian and says he would not oppose Europeans if they want to send peacekeeping troops to the war-torn nation.
European leaders have discussed sending peacekeepers to Ukraine to provide security guarantees in the event of a peace deal.
"Having troops over there would be fine, I wouldn't object to it at all," Trump told reporters at his Mar-a-Lago club in Florida on Tuesday.
Trump spoke for the first time since a US delegation established a working dialogue with Russia about Ukraine during talks in Riyadh earlier on Tuesday.
Trump said he was more confident after the talks and he would probably meet with Putin before the end of the month.
"Russia wants to do something," he told reporters.
He also blasted former president Joe Biden for his handling of Ukraine. Biden had worked to ensure Ukraine had the weapons to try to fight off the Russian invaders.
"I think I have the power to end this war," said Trump.
Earlier, US and Russian officials met for the first time since World War II to discuss ways to halt the deadliest conflict in Europe, in a four-and-a-half-hour meeting in the Saudi capital.
Ukraine has said it will not accept any deal imposed without its consent.
US National Security Adviser Mike Waltz told reporters in Riyadh that the war must come to a permanent end, and this would involve negotiations over territory.
"Just a practical reality is that there is going to be some discussion of territory and there's going to be discussion of security guarantees," he said.
High-level teams would begin talks on ending the conflict and would separately work to restore the countries' respective diplomatic missions in Washington and Moscow to ease the talks going forward, US Secretary of State Marco Rubio said.
Rubio said he came away from the initial talks convinced that Russia was "willing to begin to engage in a serious process" but that reaching peace would involve concessions from all sides.
Addressing Ukrainian and European concerns, Rubio said no one was being sidelined and any solution must be acceptable to all parties.
Ukrainian President Volodymyr Zelenskiy said he had postponed a visit to Saudi Arabia planned for Wednesday until next month.
Sources familiar with the matter said the decision was made to avoid giving "legitimacy" to the US-Russia talks.
Russian Foreign Minister Sergei Lavrov said in Riyadh that Moscow would not accept deployment of NATO troops there in Ukraine, whatever flag they were operating under.
"Of course, this is unacceptable to us," he said.
The opening encounter on Tuesday saw Lavrov and Kremlin foreign policy aide Yuri Ushakov - two veterans who have spent a combined 34 years in their current roles - negotiate with three Trump administration officials in their first month on the job.
Lavrov said there was "high interest" in lifting economic barriers between the two countries. After the invasion, the US and other Western countries imposed waves of sanctions on Moscow.
Rubio said European countries have also imposed sanctions, so they would have to be involved in talks on lifting the measures.
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