LVIV, Ukraine (AP) — Russia announced yet another limited cease-fire and the establishment of safe corridors to allow civilians to flee some besieged Ukrainian cities Monday. But the evacuation routes led mostly to Russia and its ally Belarus, drawing withering criticism from Ukraine and others.

Ukrainian officials accused Moscow of resorting to “medieval siege” tactics in places, and in one of the most desperate of the encircled cities, the southern port of Mariupol, there were no immediate signs of an evacuation.

Russian President Vladimir Putin’s forces continued to pummel some cities with rockets even after the announcement of corridors, and fierce fighting raged in places, indicating there would be no wider cessation of hostilities.

Efforts to set up safe passage for civilians over the weekend fell apart amid continued shelling. But the Russian Defense Ministry announced a new push Monday, saying civilians would be allowed to leave the capital of Kyiv, Mariupol and the cities of Kharkiv and Sumy.

The two sides met for a third round of talks Monday, according to Russian state media, though hopes for any breakthrough were dim. The countries’ foreign ministers are also scheduled to meet in Turkey on Thursday, according to that country’s top diplomat.

Ukrainians, whose ferocious resistance has slowed the invasion and thwarted any hopes Moscow had for a lightning victory, have been reinforcing cities across the country.

In Kyiv, soldiers and volunteers have built hundreds of checkpoints, often using sandbags, stacked tires and spiked cables.

“Every house, every street, every checkpoint, we will fight to the death if necessary,” said Mayor Vitali Klitschko.

Dozens of makeshift kitchens are serving food to soldiers.

“I’m carrying out my duty, working for my country, thanking our soldiers,” Natalia Antonovska said at one kitchen. “That’s why I’m here, and I’m very proud of it.”

In Mariupol, where an estimated 200,000 people hoping to flee were becoming increasingly desperate, Red Cross officials waited to hear when a safe corridor would be established. The city is short on water, food and power, and cellphone networks are down. Stores have been looted as residents search for essential goods.

Police moved through the city, advising people to remain in shelters until they heard official messages broadcast over loudspeakers to evacuate.

Hospitals in Mariupol are facing desperate shortages of antibiotics and painkillers, and doctors performed some emergency procedures without them.

The lack of phone service left anxious citizens approaching strangers to ask if they knew relatives living in other parts of the city and whether they were safe.

At the International Court of Justice at The Hague, Netherlands, Ukraine pleaded for an order to halt Russia’s invasion, saying Moscow is committing widespread war crimes and “resorting to tactics reminiscent of medieval siege warfare.” Russia snubbed the proceedings, leaving its seats in the Great Hall of Justice empty.

Well into the second week of the war, Russian troops have made significant advances in southern Ukraine and along the coast, but other efforts have become stalled, including an immense military column that has been almost motionless for days north of Kyiv.

The battle for Mariupol is crucial because its capture could allow Moscow to establish a land corridor to Crimea, which Russia seized from Ukraine in 2014.

The fighting has sent energy prices surging worldwide and stocks plummeting, and threatens the food supply and livelihoods of people around the globe who rely on crops farmed in the fertile Black Sea region.