Cities across Ukraine remain on high alert as the country's fight against Russia's invasion enters a fifth day.
The Ukrainian military said on Monday Russian troops had made repeated attempts to storm the outskirts of the capital, but failed to capture it.
Officials described Sunday's fighting as "difficult" as Russian troops "continue[d] shelling in almost all directions".
The major cities of Kyiv, Kharkiv and Chernihiv were also targeted overnight.
All three remain under Ukrainian forces' control, but Russia made some progress in the south, taking the port town of Berdyansk.
Ukrainian President Volodymyr Zelensky has warned the next 24 hours will be "crucial".
Ukraine has said negotiations with Moscow will be held without preconditions at the Belarusian-Ukrainian border. The talks will begin on Monday, a spokesperson for Mr Zelensky and Russia's Tass news agency said.
The prospect of talks comes a day after Russia's President Vladimir Putin put its deterrence forces, which include nuclear weapons, on "special alert".
The announcement does not mean Russia intends to use the weapons, but was widely perceived as a threat.
The UN General Assembly of 193 countries will also hold a rare emergency session on Monday to discuss the war, after the EU warned that more than seven million people could be displaced by the conflict.
Ukraine's health ministry has said 352 civilians, including 14 children, have died so far. The UN has recorded 64 confirmed civilian deaths and many more wounded, and says it expects the true number to be much higher.
Russia's currency, the rouble, slumped by 30% against the US dollar in early trading on Monday - a record low prompted by Western financial sanctions.
Eerie calm in Kyiv, then sirens
In Ukraine's capital Kyiv, there were a few hours of eerie calm before shelling and air raid sirens started again in the early hours of Monday, according to Ukraine's state service of special communications.
Kyiv's defence commander said Russian troops had tried to storm the capital's outskirts overnight, but were rebuffed by Ukrainian forces.
He added that Russia had suffered "significant losses of personnel" and Russian military equipment was being destroyed. The BBC has not verified this independently.
Many residents spent another night sheltering underground as the city remained under strict curfew. The stay-at-home order is due to be lifted at 08:00 local time (06:00 GMT) on Monday morning, with shops expected to reopen.
Other key cities in the north faced an ongoing barrage, including Chernihiv which saw intense shelling overnight. Missiles hit a number of buildings, according to Ukraine's state emergency service (SES).
They included a five-storey residential building, it said. The two lower floors caught fire, but the blaze has since been extinguished. No fatalities were reported.
Loud explosions were also heard once more across Ukraine's second-largest city, Kharkiv, 500km (310 miles) east of Kyiv, local media reported.
The city witnessed fierce conflict on Sunday after Ukrainian forces recaptured it from Russian troops following street fighting.