The Ukrainian military said it has pushed Russian forces some "3 to 8 kilometers" away from the bank of the Dnieper River as its forces attempt to secure beachheads on the eastern side of waterway.
Speaking on state television on November 19, military spokeswoman Natalya Humenyuk said: "The enemy still continues artillery fire on the right bank. We have a lot of work to do."
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Humenyuk estimated that "several tens of thousands" of Russian troops are resisting the Ukrainian advance.
Ukrainian forces have attempted several times to hold positions on the Russian-controlled side of the river, reporting some successes earlier this month.
Ukrainian defense analyst and reserve military officer Roman Svitan told Current Time, the Russian-language network run by RFE/RL in cooperation with VOA, that Ukrainian forces have established positions at three or four locations on the eastern bank.
"For the moment these are not large-scale forces; these are reconnaissance, mostly small reconnaissance companies, up to 100 people," Svitan said. "It may already be up to a battalion, it may be larger, but these are only so-called raid attacks that are conducted on a rotational basis."
During its daily briefing on November 19, the Ukrainian General Staff reported 71 clashes in the previous 24 hours, with particularly intense fighting near the Donetsk region cities of Bakhmut and Avdiyivka.
The military also reported that 150 settlements had been targeted by Russian artillery fire.
"Private residential buildings and other civilian infrastructure were destroyed and damaged," the General Staff's statement said.
Despite overwhelming evidence to the contrary, Russia denies targeting civilians in its invasion of Ukraine.
Two civilians were reportedly injured by Russian shelling in the southern city of Kherson overnight, while a 3-year-old girl was hospitalized with injuries sustained from a land mine.