Iraqi Prime Minister Mustafa Al Kadhimi met US Assistant Secretary of State for Middle East Affairs Barbara Leaf for talks on the country’s political crisis on Sunday.
US President Joe Biden had a phone call with Mr Al Kadhimi on the same day and commended his leadership during the worsening tension and violence in Iraq, the White House said.
It said the two leaders agreed to stay in touch in the coming weeks.
At least 30 people were killed and more than 400 wounded last week after supporters of Shiite cleric Moqtada Al Sadr clashed with Iraqi troops inside the heavily fortified Green Zone.
The clashes came after 10 months of political deadlock in the country.
Mr Al Sadr's camp and that of the rival Shiite Co-ordination Framework bloc disagree over the appropriate way to dissolve parliament and hold early elections.
His party won the 2021 federal election but was not able to reach the legislative quorum to form a government that excluded his pro-Iran rivals.
Earlier on Sunday evening, Ms Leaf and Iraq's Parliament Speaker Muhammad Al Halbousi discussed the importance of overcoming the crisis in the country, the Iraqi News Agency reported.
“During the meeting, regional and international developments were also discussed, as well as a number of issues of common interest,” the speaker's media office said.
“Ms Leaf confirmed her country's continued support for Iraq in accordance with the strategic framework agreement between the two countries and work to strengthen the partnership between Baghdad and Washington.”
The statement noted the importance of “strengthening the national dialogue between Iraqi leaders to overcome the crisis that the country is going through”.
Parliament staff back to work
On Sunday, Iraqi parliament staff returned to work for the first time since Mr Al Sadr's supporters stormed the legislature in late July, an assembly official said.
“All parliament staff have returned to work,” after orders issued on Saturday night, the parliament official told AFP.
“Operations in parliament had been suspended since protesters stormed the legislature's building.”
The protesters had staged a sit-in outside the assembly for weeks after initially storming it to demand fresh elections and the dissolution of parliament.
They pulled out last Tuesday at Mr Al Sadr's orders after about 24 hours of violence, which pitted them against the army and Iran-backed factions, left more than 30 Al Sadr supporters dead.
The battles that started when Al Sadr supporters stormed the government palace in the capital's fortified Green Zone marked one of the deadliest episodes of street violence in the country in about three years.
Moqtada Al Sadr announces resignation - in pictures
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Smoke billows in the background in the capital Baghdad during an army-imposed nationwide curfew a day after 23 supporters of powerful Shiite leader Moqtada Al Sadr were shot dead during fighting in Baghdad's Green Zone. AFP -
Iraqi armoured security vehicles clash with Saraya Al Salam (Peace Brigade), the military wing affiliated with Mr Al Sadr, as fighting between rival Iraqi forces resumed in Baghdad. AFP -
An armed member of the Peace Brigade aims a rocket-propelled grenade during clashes with Iraqi security forces in Baghdad's Green Zone. AFP -
Armed members of the Peace Brigade during clashes in Baghdad's Green Zone. AFP -
A boy walks near the office of Badr Organisation, which was burnt by supporters of Mr Al Sadr in Baghdad. Reuters -
Members of Mr Al Sadr's Peace Brigade. Reuters -
Mr Al Sadr's fighters fire their weapons. Reuters -
Peace Brigade fighters near the Green Zone. Reuters -
Ready to fight, a member of the Peace Brigade is laden with ammunition in Baghdad. Reuters -
Sadrists gather during clashes with the Iraqi security forces. Reuters -
A supporter of Mr Al Sadr carries bullet casings and a spent shotgun shell in the Green Zone. AFP -
An Al Sadr supporter waves the Iraqi flag in Baghdad after the powerful Shiite cleric announced his retirement from politics. AFP -
Dozens of angry supporters of Mr Al Sadr stormed the Republican Palace, a ceremonial building in the fortified Green Zone. AFP -
Supporters of Mr Al Sadr help injured protesters during clashes with riot police in Baghdad. EPA -
The Iraqi army has announced a Baghdad-wide curfew. AFP -
Supporters of Mr Al Sadr assist protesters injured during clashes with security forces near the prime minister's office in Baghdad. EPA -
An injured supporter of Mr Al Sadr is given water during a protest in the Green Zone in Baghdad. Reuters -
Supporters of Mr Al Sadr gather in the Green Zone. AFP -
Iraqi police try to block the entrance to the Green Zone. AFP -
Supporters of Mr Al Sadr wave an Iraqi flag from the roof of the government palace during a demonstration in Baghdad. AP -
Mr Al Sadr's supporters swim amid a protest at the Republican Palace in the Green Zone in Baghdad. Reuters -
Mr Al Sadr's supporters make their feelings known through gestures inside the palace. Reuters -
Dozens of angry supporters of Mr Al Sadr gather inside the palace in the capital Baghdad's Green Zone shortly after he said he was quitting politics. AFP -
Supporters of the powerful cleric stormed the Republican Palace, a ceremonial building in the fortified Green Zone, a security source said. AFP -
Clashes occurred between the protesters and security troops inside the palace. AFP -
Iraqi security forces try to prevent protesters from entering the Federal Court during a demonstration in Baghdad. AP -
Since the end of July, Mr Al Sadr's followers have encamped around parliament, blocking access to critical government buildings. AP -
Supporters of Mr Al Sadr try to remove concrete barriers in the Green Zone area of Baghdad. AP -
Iraqi security forces called for calm after the protesters entered the Green Zone. AP -
Iraqi security forces announced a nationwide curfew starting at 3.30pm local time following the protests. AP
In a statement posted on Twitter on Sunday, Mr Al Halbousi suggested an agenda for a second national dialogue session that follows a previous round held on August 17.
The dialogue sessions are part of a bid to end a political stalemate that has left Iraq without a new government, prime minister or president since elections last October.
The first session was boycotted by Mr Al Sadr's representatives.
Mr Al Halbousi did not set a time frame for the coming talks but said they should “set a date for early parliamentary elections” and discuss the election of a president and formation of a government.
