Kyiv, Ukraine - Kyiv and Moscow traded blame Sunday for a strike on a school in a Ukrainian-occupied town in Russia's Kursk region, as Washington urged both sides to make compromises to end the conflict.

Fighting in the nearly three-year war has shown no signs of easing despite US President Donald Trump's promise to quickly reach a ceasefire after he took office on January 20.

On Sunday Trump's Ukraine envoy hinted that both sides would have to make concessions to end the war – which could include Kyiv giving up land occupied by Russia.

The Ukrainian Air Force said four people were killed Saturday in a Russian-guided aerial bomb attack on a former school building sheltering civilians in the town of Sudzha.

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Four others were seriously wounded and 80 people were rescued from the rubble, it added.

Ukrainian President Volodymyr Zelensky called Russia "devoid of civility," sharing a video on social media showing a heavily damaged building, as well as a wounded man lying on the ground.

But Russia blamed Ukraine for the attack, saying they had opened a criminal case against a Ukrainian commander who they said was behind the attack.

A defense ministry statement accused Kyiv of a "war crime" with "no statute of limitations" by targeting the school.

Ukraine has occupied parts of the Russian border region of Kursk since launching a surprise operation last August, seizing dozens of villages and small towns including Sudzha – home to about 6,000 people before the fighting.