Eastern Ukrainian pro-independence forces said they had encircled thousands of Kiev troops in the Debaltseve area, a claim that official Kiev denies.
“All the instructions have been given,” Peskov said.
During Thursday's Minsk talks, the leaders of Kiev and the self-proclaimed republics of Donetsk and Luhansk managed to sign a deal, stipulating a ceasefire from Saturday night, prisoner swaps, weaponry withdrawal and constitutional changes in Ukraine.
Donetsk militia announced its readiness to cease fire and allow surrounded Kiev soldiers to leave the Debaltseve area "on respectful conditions."
An earlier ceasefire agreement reached by the warring sides last September broke down, with clashes intensifying in recent weeks. Debaltseve, one of Ukraine's biggest railroad junctions, has become the site of intense fighting. According to reports, up to 10,000 Ukrainian troops remain surrounded after attempting to recapture the contested town.