Ukraine’s continued focus on Kursk shows how important Kyiv believes it is to hold on to Russian land, especially if Trump pushes both sides to the negotiating table.

Russian forces continue to make costly but consistent gains in the Donetsk region in eastern Ukraine. They are steadily grinding down a pocket of resistance around the town of Kurakhove and are also fighting to envelop the larger nearby city of Pokrovsk, Ukrainian soldiers and officials said.

Ukraine launched a new offensive in Russia's Kursk region Sunday, Moscow and Kyiv said. Ukrainian forces had captured about 500 square miles of the western Russian province in a surprise incursion in August, but Russian and North Korean troops are believed to have retaken 40-50% of that area.

Russia said on Monday its forces had made important gains in eastern Ukraine while continuing to fend off a new Ukrainian offensive inside the Kursk region of western Russia, where a second day of fierce fighting was under way.

In a short post on Telegram, Andrii Yermak, the head of Ukraine's presidential office, said: "Kursk, good news, Russia is getting what it deserves."

Ukraine is leaning into its efforts to hold onto the Russian territory of Kursk amid intense pressure from Russian and North Korean forces to take it back, apparently gambling that the region could be a valuable card in potential negotiations with Moscow.