Iraqi lawmakers have reported a breakthrough on resolving two key issues that have divided parliament.
Officials said they will form a committee on Monday to pursue Sunni demands for a review of the constitution.
Then on Tuesday, lawmakers will start the first reading of a proposed law setting up an autonomous region in the Shi'ite majority south. Under Sunday's compromise, if the federalism law eventually passes, it will not take effect for 18 months.
Violence in Iraq killed at least 21 people Sunday. The U.S. military reported two Marines died during fighting in al-Anbar province. And several more bodies showing signs of torture were found in the Iraqi capital.
A Sunni militant group said Sunday that it recently executed 10 Shi'ites from India and Pakistan. It is unclear if the victims were among 14 South Asian Shi'ite pilgrims killed earlier this month.
The US military has forecast an increase in attacks during the Muslim holy month of Ramadan, which began for Iraq's Sunnis on Saturday, and is due to start for Iraqi Shi'ites on Monday.
Prime Minister Nouri-al-Maliki urged Iraqis to put aside their differences during the Muslim holy month following Saturday's bomb attack that killed more than 30 people in a Shi'ite area of Baghdad.