There were no changes in position to the north of Bakhmut, and Ukrainian forces remained engaged in heavy fighting west of Bakhmut and near Lyman, further north in Donetsk region.
Russia still holds Bakhmut but both sides say fighting in the area is intense, with Ukrainian forces hoping to encircle the city.
The 80th Air Assault Brigade is one of the Ukrainian Army’s oldest formations, and it has been among the most active since the current round of war.
A post on the Wagner affiliated Telegram channel Grey Zone described the Bakhmut sector as "deteriorating" though enemy attacks were being repelled.
Officers also say they are gaining ground along the flanks of Bakhmut, captured by Russian forces last month after protracted battles all but reduced it to rubble.
A week ago, Ukraine Deputy Defence Minister Maliar said that 113 square kilometers had been reclaimed in the previous two weeks.
Deputy Defense Minister Hanna Maliar, writing on Telegram, said an offensive was launched near a group of villages ringing Bakhmut.
Prigozhin's Wagner private army spearheaded the assault on the eastern city of Bakhmut, captured last month by Russian forces after nine months of fighting.
In Ukraine's east, Maliar said Russia forces were trying to dislodge Ukrainian forces from established positions.
Ukraine's Oleksandr Syrskyi said the situation in the east was tense and Russia was bringing its best divisions into Bakhmut.
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