BAGHDAD, Iraq – American and Iraqi troops battled foreign fighters near the Syrian border and found the body of Anbar province’s missing governor, the highest-ranking Iraqi official kidnapped since the fall of Saddam Hussein, authorities said yesterday.

The announcement came as the Shiite-dominated parliament reached out to Iraq’s disgruntled Sunni Arab minority by offering a role on the committee drafting a new constitution.

But in a development that could affect efforts to get Shiites and Sunnis working together, President Talabani said Saddam, a Sunni, could be put on trial in the next two months. The former dictator’s lawyers said they knew nothing about that.

Foreign extremists are thought to be a small portion of the Sunni-dominated insurgency, although they are blamed for some of the worst bombings and other bloodshed that have killed 765 Iraqis in the month since the new government took power.

Officials said the body of the governor of the Anbar province, Raja Nawaf Farhan al-Mahalawi, was found Sunday after troops engaged in a fierce firefight with foreigners holed up in a house in Rawah, a desert village 175 miles northwest of Baghdad.

The battle killed two Syrians, an Algerian, and a Jordanian and wounded two Saudis and a Moroccan, an American military spokesman, Major Wes Hayes, said.

“After questioning the wounded foreign fighters, coalition forces investigated the house and discovered [al-Mahalawi’s] body, which had not been shot,” Major Hayes said.

An Iraqi government spokesman, Laith Kuba, said the governor apparently was killed by falling rubble. He was chained to a tank of propane.

Al-Mahalawi was kidnapped May 10 during an offensive by U.S. Marines to clear foreign fighters from a stretch of desert along the border with Syria. His fate had been shrouded in mystery since an announcement by relatives and a government official that he had been released two weeks ago.