The fragility of the return to normal, however, was underlined by the killing of a prominent activist in Amarah, 400 kilometres (250 miles) south of Baghdad.
Al-Sinak bridge was partially closed for security reasons after it turned into the site of fierce clashes between protesters and police in October 2019, when the nationwide revolt erupted.
Massive concrete barriers and metal fences were removed using cranes and workers swept up debris, as riot police looked on.
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The bridge over the Tigris connects the Iranian embassy area and the fortified Green Zone - where government office, parliament and the US embassy are housed - to Tahrir Square, the epicentre of protests.
"We are now studying reopening Al-Jumhuriyah bridge," Mohamed al-Bayati, a military advisor to Prime Minister Mustafa Kadhemi, told reporters.
Jumhuriyah, parallel to Sinak, leads directly to the Green Zone - a restricted zone for ordinary Iraqis.
On Sunday, police fired stun grenades and tear gas at protesters who were burning tyres and hurling rocks on Al-Jumhuriyah bridge.
The bridge has been barricaded by towering concrete walls.
The Green Zone district was also the seat of power of dictator Saddam Hussein.
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After his fall in the 2003 US-led invasion, it turned into a symbol of disenfranchisement, corruption and official negligence in the oil-rich Arab country.
Protests demanding a total overhaul of the ruling class lost momentum then ground to a halt in the spring due to the coronavirus crisis and rising US-Iran tensions.
Around 600 people were killed and 30,000 wounded in clashes with security forces.
A campaign of targeted assassinations of leading figures of the October 2019 revolt followed, with the United Nations pinning responsibility on militias.
On Monday, activist Amjad al-Lami, 31, was shot three times in the head and chest near his home, police and medical sources told AFP.
Demonstrations were revived in Baghdad and southern cities on the movement's October 25 first anniversary but have since dispersed, with few protest tents left behind.
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