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.
Cardinals gathered at the Vatican on Tuesday to plan Pope Francis' funeral, which leaders from around the world will attend ahead of a conclave next month to elect a new head of the Roman Catholic Church.
Hundreds of Filipinos gathered at a solemn Mass held for Pope Francis on Tuesday, following his passing that has stirred deep sorrow among Catholics around the world, many of whom saw him as a humble and compassionate leader.
Russian President Vladimir Putin proposed on Monday bilateral talks with Ukraine for the first time since the early days of the war, and his Ukrainian counterpart Volodymyr Zelenskyy said Kyiv was eager to discuss a halt to attacks on civilian targets.
Pope Francis, the first Latin American leader of the Roman Catholic Church, died on Monday after suffering a stroke and cardiac arrest, the Vatican said in a video statement.