A car bomb targeting an army patrol killed one soldier and wounded three others in Fallujah, west of Baghdad, army Lieutenant Colonel Mohammed al-Obaidi from the Anbar Operations Command said.

A roadside bomb in Fallujah also killed a child and wounded three other people, Obaidi said.

Doctor Assem al-Hadithi of Fallujah General Hospital confirmed it had received the bodies of the soldier and the child.

In Al-Sharqat, 290 kilometres (180 miles) northwest of Baghdad, a car bomb that exploded near a police station among a line of cars waiting for petrol killed two people and wounded 26, a police colonel said.

The violence comes a day after 32 people were killed and dozens of others wounded in two car bombs targeting Shiite pilgrims in Baghdad, while 72 people were killed and more than 250 wounded in a wave of attacks across Iraq.