Russia has pledged to "fundamentally cut back military activity" around the cities of Kyiv and Chernihiv, according to reports.
Both cities have been key targets of Russian forces.
Russia's deputy defense minister Alexander Fomin said that this would "increase mutual trust for future negotiations to agree and sign a peace deal with Ukraine".
It comes as Turkey President Recep Tayyip Erdogan hosted talks between Russian and Ukrainian officials on Tuesday, amid a scandal over the suspected poisoning of Ukraine's delegation in Kyiv this month.
Analysts have noted that Russia has frequently walked back from pledges made in peace talks.
Turkey is seen as a trusted host for talks between Ukraine and Russia, with Erdogan having good relations with both sides.
It is hoped the talks could end the war in Ukraine, which is now entering its second month and has killed around 20,000 people. It began when Russia launched an unprovoked invasion of Ukraine on 24 February.
The New Arab is providing live updates of what's been happening on the ground and additional analysis on the conflict's significance.