Ukraine's air force said it had shot down 24 of 26 drones launched from Russia overnight over four regions, according to a statement posted on the Telegram messaging app.
Falling debris in the southern Odesa region injured one person and damaged 20 homes and four garages, according to regional governor Oleh Kiper.
Drone debris in the southern region of Mykolaiv caused a fire at a food enterprise that was put out, regional governor Vitaliy Kim said.
The governor of the westerly Ivano-Frankivsk region, Svitlana Onyshchuk, said authorities were dealing with the attack's aftermath, but did not disclose details, except to say no one had been injured.
Ukraine's energy ministry said Russia had attacked energy infrastructure in six regions over the past day, and damaged industrial infrastructure in the Ivano-Frankivsk region.
The governor of the central Khmelnytskyi region reported no damage following the attack.
The air force revised an earlier statement to exclude a reference to air defences being activated in the Kherson region, in the south.
Kuwaiti air defences were intercepting missile and drone attacks of undisclosed origin, state media reported, while in Bahrain sirens sounded and residents were urged to seek shelter after US and Iran exchanged fire.
The US government will attempt to redirect Iranian assets to Gulf states for rebuilding and repairs of damage caused by Iran, a source familiar with the matter said, as Tehran followed up a wave of strikes against Kuwait and Bahrain with further drone launches.
A Russian drone has struck a storage facility for spent nuclear fuel near Ukraine's disused Chornobyl power plant, Ukrainian officials said on Sunday, adding that radiation levels at the site remained stable.
An Israeli strike killed at least seven Palestinians including two women in Gaza on Saturday, health officials said, as mediators restarted talks in Cairo with Hamas and other factions over safeguarding a strained ceasefire agreement.
UAE authorities have suspended the issuance of new visas for nationals from Ebola-hit countries - Democratic Republic of Congo, Uganda, and South Sudan - as an "additional precautionary measure".