Russia says its forces have taken control of a village 40km southwest of the Ukrainian city of Donetsk, the second advance it has announced in two days.
Reuters could not independently verify the Russian claim it gained Novomykhailivka, reported by the defence ministry.
Ukraine's General Staff said in its regular morning report Kyiv's forces continued to hold back Russian attempts to advance near the village.
Russia's defence ministry said in a statement on Monday its Southern group of forces had fully taken Novomykhailivka "and improved the tactical situation along the front line".
On Sunday Russia said it had taken control of the settlement of Bohdanivka, further to the north. Bohdanivka lies northeast of Chasiv Yar, a strategic town located on high ground which, if captured, could open up the way for Russia to advance on several "fortress cities" in eastern Ukraine.
The Russian gains, if confirmed, underline the urgency for Ukraine of taking delivery of more than $US60 billion ($A93 billion) in new US military aid that the House of Representatives approved on Saturday.
It is expected to be approved this week by the Senate and signed into law by President Joe Biden.
Ukrainian President Volodymyr Zelenskiy urged Washington on Sunday to quickly turn the bill into law and proceed with the actual transfer of weapons, saying long-range arms and air defence systems were top priorities.
The Kremlin said on Monday that the new US aid would not change the situation on the front lines.
The influx of weapons should improve Kyiv's chances of averting a major Russian breakthrough in the east, military analysts say, but Kyiv still faces manpower shortages on the battlefield.