INTERNATIONAL: Eyewitness video from Tuesday 29TH March showed people running through a building in central Mariupol as explosions sound.
Shelling began in the port city four weeks ago when Russia laid siege to it.
In the video obtained by Reuters explosions can be heard as people run through an amusement centre.
Later video shows rubble and damage on buildings and cars.
Nearly 5,000 people, including about 210 children, have been killed in Mariupol since the Russian siege, a spokesperson for Mayor Vadym Boichenko said on Monday (March 28).
His office said 90% of Mariupol's buildings had been damaged and 40% destroyed, including hospitals, schools, kindergartens and factories.
Zelenskiy said Ukrainian forces had pushed back the Russians from Kyiv and Chernihiv - two cities Moscow had announced would no longer be the focus of attacks as they seek to secure the separatist Donbas and Luhansk regions in the south-east.
"There will be battles ahead. We still need to go down a very difficult path to get everything we want," he said.
"The situation in the south and in the Donbas remains extremely difficult."