Ukraine's military said that 13 soldiers had died and 20 were wounded over the past 24 hours, pushing the military death toll over the past two days to 28.
Six civilians also died in fighting across the rebels' self-declared Donetsk People's Republic and in Kiev-controlled towns in Lugansk region, government officials and separatists said.
The latest casualty reports came as Ukraine's two warring sides looked further than ever from agreeing a peace deal after the collapse of truce talks yesterday.
The Organization for Security and Co-operation in Europe (OSCE), which is involved in the talks along with Russia, said that rebel negotiators in Minsk "were not even prepared to discuss implementation of a ceasefire and withdrawal of heavy weapons."
Instead the insurgent representatives called for a total revision of an earlier Kremlin-backed peace plan signed in September that has formed the basis for all negotiations, the OSCE said in a statement.
Kiev has rebuffed this demand and said the rebels' position has thrown any future peace talks into doubt.
"Unfortunately the peace process is now under threat," Valeriy Chaly, the deputy head of Ukraine's presidential administration wrote on his Facebook page.
The fiercest fighting on the ground is focused around the strategic town of Debaltseve, a railway hub between rebel bastions Donetsk and Lugansk, where rebels are trying to encircle government forces.
Civilians who have fled describe increasingly dire conditions in the town -- which once had a population of some 25,000 -- with water and electricity cut and the remaining inhabitants living in underground shelters.
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