KABUL, Afghanistan (AP) — A senior Taliban commander and two other insurgents were killed in a firefight with NATO-Afghan forces in western Afghanistan, the military alliance said Sunday.

Another Taliban leader, Ajmal Agha Jan, also was killed Saturday in southern Helmand province’s Marjah district after he pulled a pistol on a joint force that raided his compound, NATO said in a statement.

An Afghan-NATO unit moved in after intelligence sources tracked the first commander, identified as Mullah Jamaluddin, as he traveled in western Badghis province’s Murghab district Saturday. A gunbattle erupted and the Taliban leader and two militants were killed, NATO said.

Provincial spokesman Sharaf Uddin Majidi confirmed NATO’s account.

“Jamaluddin was a very important person who received support from much of the local community,” Majidi told The Associated Press. “His death will certainly lead to increased peace and stability.”

Six senior Taliban were killed in operations in Badghis and neighboring Faryab province over the past two weeks, NATO said.

“These operations are significantly reducing Taliban influence throughout the region and returning it to the people of Afghanistan and the legitimate government they elected,” said U.S. Army Col. Rafael Torres.

Taliban spokesman Qari Yousef Ahmadi last week accused NATO of engaging in a propaganda campaign to demoralize the insurgents’ moral by inventing Taliban leaders and alleging they were killed or captured.

“Most of the commanders’ names NATO are using don’t even exist,” Ahmadi told AP. “This is just a game from the American side, nothing else.”

Despite NATO’s troop increase and capturing and killing hundreds of insurgents, violence continues unabated throughout much of Afghanistan. The focus of the U.S.-led war, which entered its 10th year last week, has been on the south, but coalition troops are increasingly fighting resilient militants in the west, east and north.

The operations that killed the Taliban commanders came the same day four Italian troops died in a roadside bomb blast in western Farah province. Insurgents detonated the explosives as a 70-vehicle convoy passed by, then strafed the Italian force with small-arms fire.

The deaths brought to 24 the number of NATO forces killed this month. At least 2,012 NATO service members have died since the U.S.-led invasion of Afghanistan on Oct. 7, 2001, according to an AP count.

Britain announced Saturday that kidnapped British aid worker Linda Norgrove died in a failed rescue operation by NATO forces.

Norgrove, 36, died Friday in eastern Kunar province when captors detonated a bomb as NATO forces attempted to free her, an official said. She was abducted in an ambush on Sept. 26 along with three Afghan colleagues who were later released. Six kidnappers also died in the rescue attempt.

Associated Press writer Amir Shah contributed to this report.