Iraqi security officials announced a citywide curfew in Basra on Friday evening amid the violent protests there.
Outraged demonstrators, shouting "Iran out", torched the Iranian consulate after security forces withdrew, as NPR's Jane Arraf reported.
Oil-rich Basra - the only province in Iraq with access to the sea - has been the epicentre of protests over official neglect that have rocked Iraq since early July.
Basra's protests, which began in early July, erupted again over the past week after tens of cases of poisoning from contaminated water. Two more protesters died during those attacks, local security and health sources said.
Hundreds of protesters on Thursday night set fire to a government building as well as the offices of Shiite militias.
Parliament said that lawmakers and ministers, including Abadi, will meet on Saturday to discuss the water contamination crisis, the latest breakdown in public services to infuriate residents.
They trained their hoses on flames still burning at the provincial headquarters, which protesters have targeted with incendiary devices.
Demonstrators on Friday attacked the building, which is located in the southern part of Basra, prompting security forces to open fire to quell the protests.
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The regional government complex, surrounded by concrete walls, is seen by protesters as a symbol of a corrupt leadership that has failed to deliver basic services in the region.
A curfew has again been imposed in Basra, coming into force at 3pm on Thursday.
Residents say they have been driven to the streets by corruption and misrule that allowed infrastructure to collapse, leaving no power or safe drinking water in the heat of summer.
The unrest has thrust Iraq into a major new crisis at a time when politicians have yet to agree a new government after an inconclusive election in May.
Grand Ayatollah Ali al-Sistani's acolytes "are following the developments in Basra with great concern and express deep sorrow for what happened there", the leader communicated in a sermon recited by his aide, Abdul-Mahdi Karbalai, in Iraq's holy city of Karbala.
The meeting was demanded by populist Shiite cleric Moqtada Sadr, whose political bloc won the largest number of seats in May elections although a new government has yet to be formed.
The prime minister responded that he would be ready to attend a meeting of parliament with the ministers and officials concerned to try to find a resolution.