Valeriya Vovnyank cries as she arrives by ferry after fleeing from Ukraine, at the Isaccea-Orlivka border crossing, Romania, on Sunday. Reuters
Separately, US Deputy Secretary of State Wendy Sherman said Russia was showing signs of willingness to engage in substantive negotiations about ending a conflict in which thousands have died. More than 2.5 million people have fled.
Ukraine has said it is willing to negotiate, but not to surrender or accept any ultimatums.
"We will not concede in principle on any positions. Russia now understands this. Russia is already beginning to talk constructively," Ukrainian negotiator and presidential adviser Mykhailo Podolyak said in a video posted online.
"I think that we will achieve some results literally in a matter of days," he said.
RIA news agency quoted a Russian delegate, Leonid Slutsky, as saying the talks had made substantial progress.
"According to my personal expectations, this progress may grow in the coming days into a joint position of both delegations, into documents for signing," Slutsky said.
Neither side indicated what the scope of any agreement might be.
Their public comments were issued almost at the same time. They came on day 18 of the war, which began when Russian forces invaded Ukraine on Feb.24 in what the Kremlin terms a special military operation.
In a tweet, Podolyak said Russia was carefully listening to Ukraine's proposals. "Our demands are — the end of the war and the withdrawal of (Russian) troops. I see the understanding and there is a dialogue," he said.
Last Monday, the Kremlin's chief spokesman said Russia was ready to halt military operations "in a moment" if Kyiv met a list of conditions.
Among the demands were for Ukraine to acknowledge Crimea as Russian territory, and recognise the separatist republics of Donetsk and Lugansk as independent states.
Ukrainian President Volodymyr Zelensky told ABC last week that "we can discuss and find a compromise on how these territories will live on" while adding "we're not ready for capitulation."
Three rounds of talks between the two sides in Belarus, most recently last Monday, had focused mainly on humanitarian issues and led to the limited opening of some corridors for civilians to escape fighting.
Russian President Vladimir Putin said on Friday there had been some "positive shifts" in the talks, but did not elaborate. On Saturday the Kremlin said the discussions between Russian and Ukrainian officials had been continuing "in video format."
Talks between the Russian and Ukrainian foreign ministers produced no apparent progress towards a ceasefire last Thursday but analysts said the fact they were even meeting left a window open for ending the war.
Fighting raged near Kyiv on Saturday and heavy shelling in other areas threatened new attempts to evacuate trapped civilians as France said Russian President Vladimir Putin showed no readiness to end the war in Ukraine.
The three were trying to flee the danger zone when they were pulled over by the tank. Aftermath of the incident captured the obliterated vehicle on the highway between the villages of Nesterianka and Myrne.
President Zelensky said conditions in Mariupol, which has seen the worst fighting of the nearly eight-week long war, continued to worsen, though Reuters witnesses said a few dozen civilians managed to leave the city on Wednesday in a small bus convoy.
Muhammad Saeed Al Mulla contributed to the establishment of a number of non-oil Emirati institutions that have become the pillars of the diversified national economy.
The Ministry of Education makes the use of the Emirates Standardised Test (EmSAT) optional for universities starting from the admission procedures for the academic year 2023-2024.
Muhammad Saeed Al Mulla was born in Al Shindagha, Dubai, in 1926, and grew up in the emerging city, which was groping for its path as a center for trade and pearl hunting.