President Donald Trump and his Iraqi counterpart Barham Saleh agreed at a meeting on Wednesday on the need for a continued US military role in the country, the White House said.

The meeting in Davos, Switzerland was the first since tensions erupted over the US killing of 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.