"The third round of negotiations will take place on Monday," Arakhamia, the parliamentary leader of President Volodymyr Zelensky's party and an envoy to the talks, said on his Facebook page.
A strategic Ukrainian city put off a planned evacuation of residents Saturday blaming Russian forces for breaking their temporary ceasefire as the Russian leader warned the West of a wider war if a no-fly zone is set up.
"Any movement in this direction will be considered by us as participation in an armed conflict by that country," President Vladimir Putin said.
With his Ukrainian counterpart Volodymyr Zelensky criticising NATO for ruling out a no-fly zone for fear of sparking nuclear conflict, Putin spoke of "colossal and catastrophic consequences not only for Europe but also the whole world", if such a zone was set up.
US Secretary of State Antony Blinken visited the border of Poland and Ukraine on Saturday, where hundreds of thousands have been fleeing the fighting since Russia invaded its neighbour on February 24.
Blinken heard from Polish officials about the humanitarian crisis sparked by Russia's invasion of Ukraine, as hundreds of Ukrainians could be seen spilling over the Korczowa-Krakovets crossing.
Russian President Vladimir Putin said Saturday he had no intention of declaring martial law, as his country's military incursion in Ukraine enters its second week.
"Martial law should only be introduced in cases where there is external aggression ... we are not experiencing that at the moment and I hope we won't," Putin said during a televised meeting with employees of Russia's flagship carrier Aeroflot.
Mariupol officials say they are delaying the evacuation of civilians, accusing Russian troops of breaking the ceasefire.
“Due to the fact that the Russian side does not adhere to the ceasefire and has continued shelling both of Mariupol itself and its environs and for security reasons, the evacuation of the civilian population has been postponed,” city officials said in a statement on social media.
There was no immediate comment by the Russian army.
Russia is blocking Meta Platforms Inc's (FB.O) Facebook, the country's communications regulator said on Friday, in response to what it said were restrictions of access to Russian media on the platform.
The regulator, Roskomnadzor, said there had been 26 cases of discrimination against Russian media by Facebook since October 2020, including restrictions in recent days on state-backed channels like RT and the RIA news agency.
The move is a major escalation in an ongoing confrontation between big tech companies and Russia, which has in recent years issued a slew of fines and hobbled services through slowdowns. The tensions have ramped up amid Russia's invasion of Ukraine, which Moscow calls a "special operation."
Russia declared a partial ceasefire on Saturday to allow humanitarian corridors out of the Ukrainian cities of Mariupol and Volnovakha, Russia's defence ministry said.
"From 1000 am Moscow time (0700 GMT), the Russian side declares a ceasefire and the opening of humanitarian corridors to allow civilians to leave Mariupol and Volnovakha," Russian news agencies quoted the Russian defence ministry as saying, reports Reuters.
The United States Senate has been invited to speak with Ukrainian President Volodymyr Zelensky via Zoom, reports say.
Zelensky has been in touch with President Biden but this will be the first time the Senate as a whole will speak to the Ukrainian leader since Russia invaded the country more than a week ago, reports BBC.
Last week, Ukraine's US ambassador Oksana Markarova met members of the Senate and said her country urgently needed more supplies to fight Russia.
Some 1.2 million people have already fled Ukraine amid the Russian invasion, according to the latest figures from the UN High Commissioner for Refugees, with over half that number pouring into neighbouring Poland.
As of Thursday 3 March, the latest date for which figures were available, some 650,000 fled to that country, while 150,000 had crossed into Hungary and the rest into other European nations. Neighbours Moldova, Slovakia and Romania accounted for the next largest numbers of refugees, reports BBC.
"Many more are on the move both inside and outside the country," the UNHCR said. "They are in need of protection and support. As the situation continues to unfold, an estimated 4 million people may flee Ukraine".
Ukraine's total population before the invasion was about 44 million.
Ukraine's strategic port city of Mariupol is under a "blockade" by the Russian army after days of "ruthless" attacks, its mayor said on Saturday, calling for the establishment of a humanitarian corridor.
"For now, we are looking for solutions to humanitarian problems and all possible ways to get Mariupol out of the blockade," said Vadim Boychenko in a message posted on Telegram, reports AFP.
Ukrainian President Volodymyr Zelensky lashed NATO on Friday for ruling out a no-fly zone over his country saying the Western military alliance knew further Russian aggression was likely.
Earlier Friday, NATO rejected Ukraine's request to impose a no-fly zone to halt Russia's bombing, but Western allies did warn President Vladimir Putin of fresh sanctions if he does not stop the war, reports AFP.