The Russian Defense Ministry issued an emergency statement calling on the remaining Ukrainian forces at the Azovstal plant in Mariupol to lay down their arms and halt fighting on Sunday morning.

“Taking into account the catastrophic situation at Azovstal Iron and Steel Works and being guided by purely humane principles, the Russian Armed Forces suggest that the militants of the nationalist battalions and foreign mercenaries stop any hostilities and lay down their arms from 06:00 (Moscow time) on April 17. All those who lay down their arms are guaranteed life,” the ministry said in a statement.

Earlier, Ukrainian President Zelenskyy said in an interview with Ukrainian media Ukrainska Pravda that the continuing siege of the southeastern city could scuttle attempts to negotiate an end to the war.

"The destruction of all our guys in Mariupol -- what they are doing now -- can put an end to any format of negotiations," he said.

-ABC News' Tanya Stukalova and Jason Volack

Four staff members of World Central Kitchen were injured in a shelling in Kharkiv in northeast Ukraine on Saturday, the organization said.

"Food heroes them all!" chef and founder Jose Andres said on Twitter. "Relief that so far that just were 4 wounded…..praying for them!"

The "Russian attacks must stop against civilian buildings and markets and churches and schools," he added.

The organization, which responds to disaster situations, has been providing meals to refugee families leaving Ukraine.

World Central Kitchen CEO Nate Mook said a missile struck one of the World Central Kitchen's partner restaurants in Kharkiv, which has seen heavy shelling.

"As you can see, tremendous amounts of damage," Mook said in a video posted to Twitter Saturday from the scene, standing before debris and burned-out cars.

Mook said "a number" of staff were wounded and hospitalized, and that one person not affiliated with the organization was killed.

"Just a tremendous amount of carnage left behind for no reason," he said. "Just absolutely horrific brutality."

Russian forces have not completely captured Mariupol, but the army is constantly calling on additional units to storm the city, Ukrainian defense ministry spokesperson Oleksandr Motuzyanyk said in a press conference.

"The situation in Mariupol is difficult and hard. Fighting is happening right now. The Russian army is constantly calling on additional units to storm the city," Motuzyanyk said.

Russian forces intend to totally close the city for entry and exit and prohibit movement between the districts and they are filtering out the men left in the city, advisor to the mayor Petro Andriushchenko alleged in a post on Telegram.

"After standard filtration bullying (interrogation, checking gadgets, examining the body) the men are separated from others and are subjected to separate interrogations, including an imitation of an execution," Andriushchenko claimed.

He added: "In general, we can say that from 5 up to 10% do not pass the filtration and after that are exported to Dokuchaevsk and Donetsk. Their further fate is not known."

Russian warships, armed with "Caliber" naval cruise missiles, in the Black Sea pose a threat against Ukrainian defense industry and logistics infrastructure, spokesman of the general staff of Ukraine Armed Forces, Alexandra Stupun said.

Stupun added: "In the waters of the Sea of Azov, the enemy's naval group continues to carry out tasks to block the port of Mariupol and provide fire support in the coastal direction."

-ABC News' Somayeh Malekian

The Romanian Naval Administration announced it has banned Russian-flagged ships from entering its ports.

The ban will take effect on Sunday.

-ABC News' Somayeh Malekian

Jalina Porter, the State Department's deputy spokesperson, is responding to the Russian attack at a Ukraine train station that killed at least 50, saying, "We can no longer be surprised by the Kremlin's repugnant disregard for human life."

Five children were among those killed when Russian rockets struck the station in Kramatorsk in Donetsk Oblast on Friday morning, according to Ukraine's state-owned railway company. At least 100 people were injured, according to Donetsk Oblast Gov. Pavlo Kyrylenko.

Russia has denied involvement in the attack, which occurred as "thousands" of civilians fleeing the Russian invasion were at the train station waiting to be taken to "safer regions of Ukraine," according to Kyrylenko.

"Civilians are killed when they stay in their homes, and they're killed when they try to leave," Porter said. "Actions like these demonstrate why Russia did not belong on the U.N. Human Rights Council, and they also reinforce the U.S. assessment that members of Russian forces are committing war crimes in Ukraine."

Porter declined to say if the department considers the train station attack a war crime, saying, "Assessing individual criminal liability in specific cases is the responsibility of courts, as well as other investigatory bodies. But as the secretary, Secretary [of State Antony] Blinken, has said, 'Those responsible for war crimes and other atrocities committed in Ukraine will be held to account.'"

-ABC News' Conor Finnegan