"A relative calm on the front is holding," Ukrainian military spokesman Andriy Lysenko told reporters.
"On average, the rebels violate the ceasefire 10 times a day, but they no longer use heavy weapons."
Lysenko said the insurgents staged a raid in the eastern separatist province of Lugansk that was repelled in a 30-minute gun battle in which one government soldier.
Another Ukrainian serviceman was reported killed on yesterday.
The militia command reported no casualties from the mostly Russian-speaking industrial war zone.
But a new round of talks in the Belarussian capital Minsk on Tuesday made no reported progress toward a deal that would see both armies withdraw their smaller weapons from the 500-kilometre demilitarisation zone.
Rebel command said it expected a special security task force representing the warring sides and Russia to continue with the negotiations with the help of European mediation today.
Diplomatic sources said German Chancellor Angela Merkel and French President Francois Hollande -- two underwriters of the February ceasefire agreement -- were to speak to Ukraine's pro-Western leader Petro Poroshenko and Russia's Vladimir Putin by telephone later today.
Repeated efforts to stop the 17-month conflict have been frustrated by some rebel and government units' refusal to listen to their political leaders and the high level of mistrust between Moscow and Kiev.
Russia denies accusations by Ukraine and its allies of orchestrating and supporting the conflict to try to prevent Ukraine from joining the European Union and possibly NATO at a later date.
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