In Ukraine, a Russian attack on the outskirts of the northeastern city of Kharkiv killed three people, the governor said on Telegram late on Sunday.
Ukraine is seeking additional interceptor missiles from the US and Europe, its key allies, to repel such attacks, in its war with Russia.
Debris fell on apartment buildings and warehouses caught fire in Krasnodar, Kondratyev said on the Telegram messaging app.
The attack caused a fire at a logistics hub of Russian online retailer Ozon, the company said on Telegram.
In Russia's Nevinnomysk, a chemical production area in the Stavropol region next to Krasnodar, a drone attack on an industrial area was repelled, Governor Vladimir Vladimirov said on Telegram early on Monday.
Ukraine has stepped up attacks on logistics hubs and warehouses across Russia, bringing the war which Russia started in February 2022 closer to ordinary Russians, some of whom make their living from selling goods online.
In comments published on Saturday, Russian President Vladimir Putin said that Kyiv had opened a "Pandora's box" with its strikes on Russian economic targets and that Moscow would hit back at Ukraine's "most sensitive economic sectors".
Meanwhile, the European Union has pledged continued support for Ukraine as the country marks its Independence Day on Monday, while threatening Russia with further sanctions over its ongoing invasion.
European Council President António Costa is expected in Kiev on Monday to take part in celebrations marking the day.
Costa said since Russia launched its full-scale invasion, the EU and its member states have pledged hundreds of billions of euros in political, financial, humanitarian, military and diplomatic support.
"We will continue to provide as much support as necessary, for as long as necessary - during the war, in peace negotiations and in reconstruction," Costa said.
The EU's "vision extends beyond the war", he said.
"Ukraine's future in the European Union is the best guarantee of security and long-term democratic stability - for Ukraine and for Europe as a whole."
Costa also said EU sanctions on Russia were having an impact.
"We will intensify the pressure until Russia ends the killing, demonstrates a genuine commitment to peace, and moves from the battlefield to the negotiating table."
Ukraine's Independence Day commemorates the declaration of independence from the Soviet Union adopted on August 24, 1991.
A number of world leaders are expected in Kiev on Monday, including British Prime Minister Andy Burnham.
A video conference of the so-called Coalition of the Willing, a group of countries supporting Ukraine against Russia, is also planned.
with dpa