Former Russian President Dmitry Medvedev, an ally of President Vladimir Putin, said in a French television interview on Friday that Russia was prepared to hold talks with Zelenskiy subject to certain conditions, but warned Moscow would not stop its assault until its goals had been achieved.
"Renouncing (Ukraine's) participation in the North Atlantic alliance is now vital, but it is already insufficient in order to establish peace," Medvedev told LCI television in quotes reported by Russian news agencies.
FIGHTING
Ukrainian rocket fire put an important bridge in Kherson region out of action on Friday, Ukraine's southern military command said.
Knocking out the Darivsky bridge, used by Russian forces to cross the Inhulets River just east of the city of Kherson, will complicate Moscow's efforts to supply its troops in the Russian-occupied city that Ukraine wants to take back, it said.
"Our soldiers are doing everything possible to reduce the occupiers' fighting and logistical potential," Zelenskiy said in his address, referring to recent strikes on Russian supply depots and bridges.
There was no immediate comment from Moscow.
The Ukrainian military general staff said Russian aircraft attacked several sites, focusing on more than a dozen towns in the south including the city of Mykolaiv, a river port lying just off the Black Sea.
There were also air strikes against several towns in the Sumy region near the Russian border, the general staff said, and Russian forces had shelled and carried out air attacks against the Kharkiv region in the northeast.
Pavlo Kyrylenko, governor of the eastern Donetsk region, said three quarters of its population had been evacuated.
"There is practically not a single major town or city that is not subject to (Russian) shelling," he told Ukrainian TV.
Also on Friday, Washington confirmed reports that a U.S. citizen had recently died in Ukraine, but declined to provide further details.
Russian state news agency TASS said the deputy traffic police chief in the occupied Ukrainian city of Berdiansk was killed on Friday in a bombing. Its Russian-installed administration blamed the blast on "Ukrainian saboteurs". Ukraine's Defense Ministry did not respond to a request for comment.
Reuters was unable to verify the battlefield reports of either side.