Russia, which had initially insisted the defenders give themselves up, has said little publicly about the talks.
The city, which had been under fierce bombardment, has been quiet for at least two weeks and Reuters journalists have confirmed Ukraine now controls territory stretching to the Siverskyi Donets River, around 40 km to the east.
Russia, which denies targeting civilians, said its forces had shot down a Ukrainian Su-27 aircraft in the Kharkiv region and disabled the Kremenchuk oil refinery in central Ukraine.
In their first conversation since the invasion, US Defense Secretary Lloyd Austin spoke by telephone on Friday with Russian Defence Minister Sergei Shoigu, seeking an immediate ceasefire and stressing the importance of open lines of communication.
Olena Trinus, 62, at her home which was destroyed during the Russian invasion in Irpin, Kyiv Oblast on May 13, 2022. Trinus built the house with her husband who died in 2020. Source: AAP / AP
Kyiv says children deported
A Russian soldier is accused of murdering a civilian. Moscow has accused Kyiv of staging such crimes.
Satellite imagery from Maxar, a private US-based company, showed the aftermath of what it called probable missile attacks on a Russian landing craft near the island.
Joining the 30-nation Western military alliance would end the neutrality the two states maintained during the Cold War and further expand NATO, something Russian President Vladimir Putin said his invasion of Ukraine aimed to prevent.