The night curfew will continue in the capital and three other central provinces: Salaheddin, Bail and Diyala.
Traffic has reportedly returned to the streets of the capital.
Despite the measures aimed at curbing the violence, around 25 Iraqis were killed in a string of attacks around the country.
Around 19 civilians were killed in mortar attacks in a Shi'ite neighbourhood of Baghdad.
Police said at least 11 mortar rounds hit a Shi'ite enclave in Dora, a predominantly Sunni Arab district. Eight houses were hit and at least 15 people were killed and 49 others injured.
Later in the night, another mortar round hit a house in a Sunni section of Dora, killing one person and wounding four.
Two mortar rounds also crashed into homes in the Shi'ite-dominated neighbourhood of Hurriyah, killing three people, police said.
As night fell, more explosions rocked the city.
In other violence two people were killed and six wounded, including two children, when gunmen opened fire on a group of people playing football in the province of Diyala northeast of Baghdad.
In the southern city of Basra, an explosion wounded two civilians outside a Shi'ite holy site, according to a military spokesman.
Arrests over shrine attack
The attack on the Shiite city aimed to ignite a fresh outbreak of sectarian violence following Wednesday's bombing of a revered Shi’ite shrine in the northern town of Samarra, which sparked a series of attacks against the minority Sunni community.
The ensuing sectarian violence has left more than 150 dead and dozens wounded.
Ten people have been arrested over the shrine bombings, Iraq's national security adviser, Mowaffak al-Rubaie, said on Sunday.
"We have arrested 10 people, four from the guards of the Golden Tomb shrine," he told CNN.
The other six suspects, he said "were in the city of Samarra, (and had) just moved in and rented a place... so we are investigating them," he said.
The latest deadly barrages came as restrictions eased in Baghdad, which had been under lockdown after the bombing of the shrine.
Appeals for unity
Iraq's sectarian clashes have threatened to derail talks on setting up a government of national unity, a crucial step in paving the way for a withdrawal of US forces from the insurgency-racked country.
On Saturday top Iraqi leaders vowed to preserve national unity as they sought to pull their nation back from the brink of civil war.
"All the leaders felt a need to accelerate the political process and proposed to sign a national pact between all the different political factions," Prime Minister Ibrahim Jaafari said after the meeting.
"If I have any good news it is that Iraq is far away from a civil war. There is no Shiite against a Sunni or a Muslim against a non-Muslim ... the name of Iraq is above everything," he said.
al-Sadr in Basra
Meanwhile, Shi’ite cleric Moqtada al-Sadr arrived in Basra on Sunday following a Middle East tour that included Iran, and immediately called on Iraqis to unite and demand US troops withdrawal.
"I call on all Iraqis, Sunnis and Shi’ites, Muslims and non-Muslims, to take part in a demonstration of unity in Baghdad to call for the withdrawal of the forces of occupation, even if this has to take place over time," he told supporters.
"Sunnis and Shi’ites must back each other and help each other because there is no difference between a Sunni and a Shiite. Iraqis must avoid division and unite in the face of the Crusaders," he said, speaking of US-led coalition forces.