Outskirts of Falluja, May 30
A Reuters TV crew about 1.5 km from the city's edge said explosions and gunfire were ripping through Naimiya, a district of Fallujah on its southern outskirts.
An elite military unit, the Rapid Response Team, seized the district's police station at midday, state television reported.
The battle for Fallujah is shaping up to be one of the biggest ever fought against Islamic State, in the city where US forces waged the heaviest battles of their 2003-2011 occupation against the Sunni Muslim militant group's precursors.
Fallujah is Islamic State's closest bastion to Baghdad, and believed to be the base from which the group has plotted an escalating campaign of suicide bombings against Shia civilians and government targets inside the capital.
As government forces pressed their onslaught, suicide bombers driving a car and a motorcycle and another bomb planted in a car killed more than 20 people and injured more than 50 in three districts of Baghdad, police and medical sources said.
Separately, Kurdish security forces announced advances against Islamic State in northern Iraq, capturing villages from militants outside Mosul, the biggest city under militant control.
The Iraqi army launched its operation to recover Fallujah a week ago, first by tightening a six-month-old siege around the city 50 km west of Baghdad.
Fallujah, in the heartland of Sunni Muslim tribes who resent the Shia-led government in Baghdad, was the first Iraqi city to fall to Islamic State in January 2014.
A Shia militia coalition known as Popular Mobilization, or Hashid Shaabi, was seeking to consolidate the siege by dislodging militants from Saqlawiya, a village just to the north of Fallujah. — Reuters