Afghan and U.S. troops overran three suspected Taliban (searchpositions in the mountains of southern Afghanistan on Tuesday as American bombing echoed through the rugged region.

Hundreds of Taliban holdouts have been offering a week of fierce resistance in the mountains. Gen. Haji Saifullah Khan (search), the main Afghan commander in the battle area in Zabul province's Dai Chupan district, said U.S. warplanes and helicopter gunships hammered Taliban positions until shortly before dawn Tuesday.

Khan said the Taliban had been pushed back from three hideouts Tuesday but were continuing to hunker down, using the rough terrain as their shield.

"It's a huge mountain with many gorges in it. It provides very excellent shelter against bombing," said Khan, who spoke to The Associated Press by satellite phone from the front lines.

The commander said his men would offer the Taliban in other hideouts a chance to surrender -- then move in.

"We have tightened our siege. We are very close to the Taliban positions," he said. "We will try to make them surrender. If they do not surrender then fighting will start."

Khan said U.S. warplanes targeted the Sairo Gar (searchmountain area. His ground troops found bedding and turbans but no weapons at the three locations -- Kafir Shaila, Kabai and Ragh. There was no ground fighting as the Taliban simply retreated from their positions.

The U.S. military has been involved in the fighting since it began about eight days ago. Since Saturday, they have dubbed their role in the skirmishes as "Operation Mountain Viper."

The military said U.S. special operations forces and soldiers from the 10th Mountain Division were involved along with close air support. The military would not say how many U.S. soldiers were involved in the fighting, though Afghan officials have put the number at several hundred.

One American soldier died Friday when he fell during a night combat mission. Two other U.S. soldiers died in a 90-minute gunbattle Sunday in eastern Afghanistan, near the border with Pakistan. Four suspected Taliban were killed in that fighting.

Those deaths bring to 35 the number of U.S. troops killed in action in Afghanistan, in addition to 162 that have been wounded, according to the U.S. military.

Afghan presidential spokesman Jawid Luddin said that more than 500 troops of the fledgling Afghan national army had been deployed in Zabul. So far, most of the fighting on the government side has been done by provincial militia forces.

On Monday, suspected insurgents rode up to a group of Afghan soldiers protecting the Kabul-Kandahar road in Shajoi -- near the main fighting -- killing four soldiers and setting their vehicle ablaze, provincial intelligence chief Khalil Hotak told The Associated Press from a command center in Qalat.

That followed an attack late Sunday, when a large group of rebels attacked an Afghan checkpoint in Shajoi. They killed four soldiers and took the remaining two captive.

The latest attacks on the Afghan soldiers, both near the mountains of Dai Chupan, appeared to be an attempt by the insurgents to distract government forces from the main battle, said Hotak.

Dozens of suspected Taliban have been killed in the ongoing battle in Zabul province. U.S. military spokesman Rodney Davis said at least 37 insurgents had been killed in direct combat or air strikes. Afghan officials have put the toll much higher.

There was no word of casualties among government forces Monday.

On Monday, a provincial religious leader, Mulvi Abdul Rahman, told AP that he had spoken to tribal elders in the area and asked them to pass along an offer on behalf of the Zabul governor to the Taliban: Lay down your weapons and we will allow you to return home.

Rahman said he had not received a response, but that negotiations to end the battle peacefully where ongoing.