Russian forces have now shifted their focus to the offensive in the eastern Donbas region of Ukraine.
Heavy shelling and fighting have continued in the east and south as Russia's army attempts to establish control over the region.
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Russian shelling of urban areas in the east of Ukraine continued over the Easter weekend, with the death toll in the Luhansk region reaching eight by Sunday morning.
Zelenskyy told the journalists gathered at a Kyiv metro station on Saturday that he would meet with Vladimir Putin if it meant the end of the war.
However, Zelenskyy also emphasised that all negotiations would be over if Russian troops end up killing the besieged Ukrainian soldiers in Mariupol.
Moldova summoned the Russian ambassador in protest at a Russian general's comments that Moscow wants to capture southern Ukraine to gain access to the breakaway region of Transnistria.
Ukrainian officials say Russia has attempted to assault the besieged Azovstal steel mill where the country's fighters are holding out. Putin previously told Russian forces not to storm the industrial site and instead seal it off.
Russia FM blames Ukraine for halted peace talks, saying "they have put up with their destiny".
At least 594 children have been killed or injured so far due to war in Ukraine, the country's parliament says.
Russia has pressed its attacks in the eastern Donbas region, intensifying offensive and assault operations toward the cities of Popasna and Siverodonetsk in Luhansk, and Kurakhiv in Donetsk.
Luhansk region Governor Serhiy Haidai said Sunday that eight people were killed and two others were wounded in a Russian barrage Saturday.
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