Washington meanwhile condemned the missile on a tower block in the eastern city of Dnipro, as the death toll rose to 30 as rescue teams kept up the search for survivors.
NATO Secretary General Jens Stoltenberg said Ukraine could expect more heavy weapons following Kyiv's requests to its allies for the vehicles, artillery and missiles it says are key to defending itself.
"The recent pledges for heavy warfare equipment are important -- and I expect more in the near future," Stoltenberg told Germany's Handelsblatt daily, ahead of a meeting this week of a group that coordinates arms supplies to Kyiv.
Days after Russia claimed to have taken Soledar in eastern Ukraine, a salt-mining outpost home to 10,000 before the conflict, Putin hailed it as a major success.
"There is a positive dynamic, everything is developing according to plans," Putin said, in an interview broadcast Sunday. "I hope that our fighters will please us more than once again."
Russia's defence ministry announced this week that it had "completed the liberation" of Soledar.
This could be a key gain as Russian forces push towards what has been their main target since October -- the nearby transport crossroads of Bakhmut.
Ukraine has denied the Russian claims, insisting that heavy fighting continues in Soledar.
But on Sunday, the US-based Institute for the Study of War said that "Ukrainian forces are highly unlikely to still hold positions within the settlement of Soledar itself".
Russia's victory there, if that is what it proves to be, follows months of humiliating setbacks.
Both sides have conceded heavy losses in the battle for the town.