Women and children were rescued from the site in the shattered southern port city at the weekend.
But hundreds of civilians remain trapped in bunkers under the Azovstal steelworks, Ukraine says.
Russia has launched a "powerful assault" on the site - where the city's last defenders are holding out, a Ukrainian commander says.
Missile strikes are reported on the western city of Lviv - three power substations have been hit, the city's mayor says.
Earlier, UK PM Boris Johnson addressed Ukraine's parliament - and gave details of more military funding.
Women and children were rescued from the site in the shattered southern port city at the weekend.
But hundreds of civilians remain trapped in bunkers under the Azovstal steelworks, Ukraine says.
Russia has launched a "powerful assault" on the site - where the city's last defenders are holding out, a Ukrainian commander says.
Missile strikes are reported on the western city of Lviv - three power substations have been hit, the city's mayor says.
Earlier, UK PM Boris Johnson addressed Ukraine's parliament - and gave details of more military funding.