Maksym Kozytsky, the head of the Lviv regional military administration, said there were three additional explosions following a Russian strike earlier on a fuel depot.
"Another strike near Lviv," Kozytsky said on his Telegram account. "There were three more powerful explosions. The air alarm remains!"
After the initial strike on the fuel depot, Lviv Mayor Andriy Sadovyi said another strike had hit the city.
"As a result of new missile strikes on Lviv, significant damage was inflicted on infrastructure facilities," Sadovyi said in a tweet.
Residential buildings were not damaged, the mayor added.