Unnamed security officials confirmed the reports, saying clashes between Sunni residents and Shi'ite militiamen were continuing in Al-Hurriyah, a mixed Sunni-Shi'ite neighborhood.
According to reports from residents and police officials, the fighting has cost the lives of at least 24 people.
The clashes come a day after a series of car bombs killed 215 people in Al-Sadr City, a mostly Shi'ite part of the capital.
Violence outside the capital killed at least 23 people in the northern city of Tal Afar.
(compiled from agency reports)