CORRECTED-WRAPUP 3-Ukraine says scores of Russians killed in fighting in the south

(In headline, first and fifth paragraph makes clear references to Russians killed are to wider southern area)

* Kyiv says more than 100 Russian soldiers killed on Friday

* Ukraine says rail links to Kherson over Dnipro have been cut

* UK spy chief says Russia is 'running out of steam'

* Russia publishes list of killed, injured Ukrainian POWs

By Max Hunder and Pavel Polityuk

ODESA/KYIV, Ukraine, July 30 (Reuters) - The Ukrainian military said on Saturday it had killed scores of Russian soldiers in fighting in the south, including the Kherson region that is the focus of Kyiv's counter-offensive in that part of the country and a key link in Moscow's supply lines.

Rail traffic to Kherson over the Dnipro River had been cut, the military's southern command said, potentially further isolating Russian forces west of the river from supplies in occupied Crimea and the east.

Defence and intelligence officials from Britain, which has been one of Ukraine's staunchest allies in the West since Moscow's Feb. 24 invasion, portrayed Russian forces as struggling to maintain momentum.

Ukraine has used Western-supplied long-range missile systems to badly damage three bridges across the Dnipro in recent weeks, cutting off Kherson city and - in the assessment of British defence officials - leaving Russia's 49th Army stationed on the west bank of the river highly vulnerable.

The Ukrainian military's southern command said more than 100 Russian soldiers and seven tanks had been destroyed in fighting in the south on Friday.

The first deputy head of the Kherson regional council, Yuri Sobolevsky, told residents to stay from away from Russian ammunition dumps.

"The Ukrainian army is pouring it on against the Russians and this is only the beginning," Sobolevsky wrote on the Telegram app.

The pro-Ukrainian governor of Kherson region, Dmytro Butriy, said Berislav district was particularly hard hit. Berislav is across the river northwest of the Kakhovka hydroelectric power plant.

"In some villages, not a single home has been left intact, all infrastructure has been destroyed, people are living in cellars," Butriy wrote on Telegram.

Reuters could not independently verify the reports.

Officials from the Russian-appointed administration running the Kherson region earlier this week rejected Western and Ukrainian assessments of the situation.

In an intelligence update on Saturday, Britain's defence ministry said Russia had likely established two pontoon bridges and a ferry system to compensate for bridges damaged in Ukrainian strikes.