The Sunni leaders also came up with 13 proposed advisers rather than 10.
Sunni political leaders had agreed to allow a bill, defining how these states would be formed, to come up for debate this week.
The support of the Sunni leaders is not necessary to complete the constitution.
By the end of the day, Sunni leaders said they were no closer to a deal.
Sunni political leaders have their own challenge to meet, and other Iraqis will be waiting to see how they respond to the election results.
Sunni political leaders deserve credit for leading their community back into electoral politics.
Investigators believe that the Sunni tribal leaders were the targets.
In that case, the Sunni leaders say, their people may yet come out to vote in large numbers.
He was a moderate Sunni leader with no links to insurgent groups.
He said local Sunni leaders complained, but were arrested, too.