In Davos, Switzerland, the two presidents held their first meeting since the United States killed a top Iranian general in Baghdad, sparking an Iraqi parliament call for expulsion of US troops.

"The two leaders agreed on the importance of continuing the United States-Iraq economic and security partnership, including the fight against ISIS," the White House said.

"President Trump reaffirmed the United States' unwavering commitment to a sovereign, stable, and prosperous Iraq."

Tensions between Washington and Tehran boiled over onto Iraqi soil this month, with the US killing top Iranian general Qasem Soleimani in Baghdad and Iran striking back at an Iraqi base hosting American soldiers.

Furious at the US hit, Iraq's parliament voted January 5 to oust all foreign troops, including some 5,200 American soldiers deployed alongside local forces.

A source from Saleh's office told AFP he had discussed with Trump the US drone strike as well as the withdrawal of forces.

Trump told Saleh that he "does not want to stay in Iraq", the source said, and would draw down forces in an "unprecedented way".

Saleh told world leaders in Davos the parliamentary vote was "not a sign of ingratitude or hostility", but a response to a violation of his country's sovereignty.

"It is not in our interest to choose to ally with one side at the expense of others, as long as both respect our sovereignty and independence."

He added that "no country should seek to dictate to Iraq" the nature of its relationships.

Saleh condemned acts of violence against the months-long protests movement rocking Baghdad and Iraq's Shiite-majority south, which has left hundreds dead since October.

He met Trump on the Davos sidelines, hosting a brief press conference but brushing off questions on parliament's vote

Trump left the annual World Economic Forum get-together in Davos later Wednesday to return to Washington.