Explosions were reported early on Tuesday in Kyiv, with several residential buildings, a school and cars hit by falling drone debris, Ukrainian media reported.
People were also trapped in a residential building and there were fires across Kyiv, Mayor Vitali Klitschko said on Telegram after what he said were Russian ballistic missile strikes.
A five-storey apartment building and a three-storey residential block were damaged by falling debris, the Kyiv Military Administration said on Telegram separately, asking people to seek shelter.
The Kyiv Independent, citing Mayor Vitali Klitschko, said several people were buried under the rubble of a damaged apartment building.
Medics had been sent to one of the attacked sites, Klitschko said. Information on casualties was not yet available.
Air raid alarms were triggered in other parts of the country, the Kyiv Independent reported.
Over the weekend, US envoys Steve Witkoff and Jared Kushner first visited Moscow and then, for the first time, Kyiv to speak with the warring parties about ending the war in Ukraine.
The US sees itself as a mediator. No immediate progress was initially apparent after the trips.
Ukraine has been defending itself against a full-scale Russian invasion for more than four-and-a-half years. Kyiv's counterstrikes have focussed on oil infrastructure and more recently on Russian online retailers.
Ukraine President Volodymyr Zelenskiy believes Russian President Vladimir Putin is counting on another harsh winter to weaken Ukraine, including by targeting its energy infrastructure, but does not want to antagonise US President Donald Trump ahead of the US midterm elections in early November.
"My feeling [is] that Putin needs Trump," Zelenskiy said in an interview with US news outlet Axios on Monday.
"He doesn't want ... to upset him."
"The most important thing is to continue working together actively to keep diplomacy going," Zelenskiy wrote on X.
"We had substantive discussions about our air defence needs, the relevant technological co-operation, and the winter package we need," he said.
Without going into detail, Zelenskiy told Axios of possible ways to de-escalate the situation before the onset of winter.
He nevertheless assumed that Moscow would want to use the winter to put further pressure on Ukraine.
"Russia really thinks that this winter can help them to break us," Zelenskiy told Axios.
The aim, he said, was to force Kiev to show greater willingness to compromise.
He warned that Ukraine, too, could exert economic pressure on Russia.
"When they attacked our electricity, we blocked their possibility to sell oil and gas," Zelenskiy explained.
However, Ukraine wants to restart the diplomatic negotiation process. "
with Reuters