Withdrawal is the centerpiece of a set of demands from the groups, which operate north of Baghdad in the heavily Sunni Arab provinces of Salahuddin and Diyala. Although much of the fighting has been to the west, those provinces are increasingly violent and attacks there have crippled oil and commerce routes.

The groups who've made contact have largely shunned attacks on Iraqi civilians, focusing instead on the U.S.-led coalition forces. Their offer coincides with Prime Minister Nouri al-Maliki's decision to reach out to the Sunni insurgency with a reconciliation plan that includes an amnesty for fighters.

The Islamic Army in Iraq, Muhammad Army and the Mujahedeen Shura Council ¡ª the umbrella group that covers eight militant groups including al-Qaida in Iraq ¡ª were not party to any offers to the government.

Naseer al-Ani, a Sunni Arab politician and official with the largest Sunni political group, the Iraqi Islamic Party, said that al-Maliki should encourage the process by guaranteeing security for those making the offer and not immediately reject their demands.

"The government should prove its goodwill and not establish red lines," al-Ani said. "If the initiative is implemented in a good way, 70 percent of the insurgent groups will respond positively."

Al-Maliki, in televised remarks Wednesday, did not issue an outright rejection of the timetable demand. But he said it was unrealistic, because he could not be certain when the Iraqi army and police would be strong enough to make a foreign presence unnecessary for Iraq's security.

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