Luhansk region Governor Serhiy Gaidai on Tuesday told Ukrainian television, without giving locations, that a “counter-attack is under way and … our forces are enjoying some success. Let’s leave it at that”.

A presidential adviser had earlier tweeted that there would be “great news” coming from the president on the operation in the northeastern Kharkiv region.

In his evening address, however, President Volodymyr Zelenskiy made scant mention of operations in the Kharkiv region, but he did say five Russian cruise missiles were shot down on Tuesday, most of them in the south.

Reuters was unable to independently verify the Ukrainian officials’ comments and there was no immediate response from Russia.

But an official with the pro-Moscow breakaway Donetsk People’s Republic on Tuesday gave an unusually frank account of the fighting at Balakliia, an eastern town of 27,000 people that lies between Kharkiv and Russian-held Izyum, a city with a major railway hub used by Moscow to supply its forces.

“Today, the Ukrainian armed forces, after prolonged artillery preparation … began an attack on Balakliia … ” Daniil Bezsonov said on Telegram, adding that if the town were lost, Russian forces in Izyum would become vulnerable on their northwest flank.

“The Ukrainian armed forces concentrated mass fire on the mobile groups of the Donetsk People’s Republic, which had taken up defensive positions in nearby forests.

“At this time, Balakliia is in operative encirclement and within the firing range of Ukrainian artillery. All approaches are cut off by fire.”

Several posts on social media from military bloggers and witnesses also reported fighting around Balakliia.

Little information has emerged about progress of the main Ukrainian offensive in the southern Kherson region, with Kyiv barring journalists from the front line and releasing only limited reports to preserve the element of surprise.

Russia says it has repelled the Kherson assault, but Ukraine has reported steady success.

Western military experts say Ukraine’s aim in the south appears to be to trap thousands of Russian troops on the west bank of the wide Dnipro River and cut them off by destroying their rear supply lines.

The announcement of a simultaneous Ukrainian advance near Kharkiv was an indication that Russian troops were having difficulty reinforcing along the front, Mark Hertling, a retired former US commander of ground forces in Europe, said in a tweet.

United Nations Secretary-General Antonio Guterres laid out specific steps for both sides to demilitarise the area around the Russian-held Zaporozhzhia nuclear power plant in southern Ukraine.

The first was for Russian and Ukrainian forces to commit to refraining from military activity in and around the plant, Europe’s biggest nuclear power station.

“As a second step, an agreement on a demilitarised perimeter should be secured,” Guterres told the UN Security Council on Tuesday.

“Specifically, that would include a commitment by Russian forces to withdraw all military personnel and equipment from that perimeter and a commitment by Ukrainian forces not to move into it.”

The International Atomic Energy Agency (IAEA) earlier on Tuesday called for a “a nuclear safety and security protection zone.”

IAEA inspectors led by the agency’s chief, Rafael Grossi, braved shelling to cross the front line and reach the power station last week. Two experts from the UN nuclear watchdog have stayed on to maintain a long-term presence.

A long-awaited IAEA report listed areas of the plant that had been damaged, including a building housing nuclear fuel, a facility for storing radioactive waste, and a building housing an alarm system. It said the power station had been cut off several times from offsite power supplies critical to its safe operation.

The report avoided blaming either side for the damage. The plant was seized by Russian forces shortly after their February 24 invasion of Ukraine, but is still run by Ukrainian technicians. It sits on a Russian-held bank of a huge reservoir, opposite Ukrainian positions across the water.

-AAP