About 15 blasts were heard in Ukraine's Kharkiv on Friday morning, mayor Ihor Terekhov said, and Russian missile strikes appeared to be targeting the city's power supply, causing partial blackouts.
Terekhov did not report any casualties. He said some of the city's water pumps had stopped because of the attacks.
In central Ukraine, Kryvyi Rih mayor Oleksandr Vilkul said blasts were heard in the city, but provided no details.
In another central Ukrainian city, Vinnytsia, a "critical infrastructure object" has been damaged, according to mayor Serhiy Borzov.
The administration of the southern Ukrainian city of Zaporizhzhia also reported eight missile strikes and said some locals had been wounded.
According to Ukrainian officials, several Russian missiles were still moving towards targets in Ukraine.
A SpaceX capsule delivered four astronauts to the International Space Station early on Sunday in a NASA crew-swap mission that will allow a pair of stuck astronauts, Butch Wilmore and Suni Williams, to return home after nine months on the orbiting lab.
59 people were killed and more than 100 injured when a fire broke out in a nightclub early on Sunday in the North Macedonian town of Kocani, Interior Minister Pance Toskovski confirmed, saying the fire was caused by "pyrotechnic devices" used during a concert.
US President Donald Trump launched large-scale military strikes against Yemen's Iran-aligned Houthis on Saturday over the group's attacks against Red Sea shipping, killing at least 31 people at the start of a campaign expected to last many days.
At least nine Palestinians including three local journalists were killed on Saturday in an Israeli air strike on Gaza's northern Beit Lahiya town, the local health ministry said, as Hamas leaders held ceasefire talks with mediators in Cairo.
Ukrainian President Volodymyr Zelenskiy said on Saturday he had urged Kyiv's Western allies to give "a clear position" on security guarantees including about a potential foreign troop contingent on Ukrainian soil with a US backstop.