A total of 3,810 people were evacuated from Ukrainian cities through humanitarian corridors on Thursday, Interfax Ukraine cited a senior official as saying, a far smaller number than on Wednesday.
Ukrainian Deputy Prime Minister Iryna Vereshchuk told a briefing that around 2,000 people managed to leave the besieged city of Mariupol. President Volodymyr Zelenskiy said a total of more than 60,000 people had been evacuated on Wednesday from a number of cities and towns.
On Thursday, Rescue workers also searched the rubble of a theatre sheltering hundreds of women, children and elderly, which was targeted in Russian bombing on Wednesday.
The team has said there are survivors from the strike that completely destroyed the theatre and led to fears that hundreds of civilians could have been killed.
They were unable to reach the site until recently due to the dangers of Russian shelling.
Images have shown emergency workers rescuing some survivors from the rubble.
Ukrainian officials say the makeshift shelter was hosting between 1,000 and 1,200 civilians when it was hit.
A message was written on the side of the building in Russian notifying that children were sheltering in the theatre.
Russia also targeted a swimming pool and convoy leaving, according to Ukrainian officials.