ABU DHABI (AFP) - US Secretary of State Mike Pompeo on Monday (June 24) encouraged Saudi Arabia and the United Arab Emirates to do more to ensure maritime surveillance with Iran, which days earlier shot down an American drone.

Mr Pompeo flew to the US allies just as President Donald Trump, who often complains of allies freeloading off Washington, called for Asian nations in particular to share more of the cost of security in the oil-rich Gulf.

Mr Pompeo, meeting Abu Dhabi's Crown Prince Mohammed bin Zayed, said he was hoping that more than 20 countries including the United Arab Emirates and Saudi Arabia would work together on building maritime security.

"We'll need you all to participate, your military folks," Mr Pompeo said.

"The president is keen on sharing that the United States doesn't bear the cost of this," Mr Pompeo said.

Mr Trump last week ordered but then cancelled a military strike on Iran, saying the response would not be proportionate to shooting down an unmanned drone.

Mr Trump has called for talks with Iran, which says he is insincere as he is also ramping up sanctions and last year pulled the United States from a denuclearisation deal with which UN inspectors say Tehran was abiding.

In a joint statement, the United States, Saudi Arabia and the United Arab Emirates alongside Britain backed the call for talks, while renewing concern about Iran.

"We call on Iran to halt any further actions which threaten regional stability, and urge diplomatic solutions to de-escalate tensions," said the statement released by the United States on Monday.

Iran says the US drone violated its airspace, a charge that Washington denies. The United States has sought to end all of Iran's oil exports, one of a series of unilateral sanctions that Teheran has described as "economic terrorism".

Shooting 'pictures', not people

A US official said that Mr Pompeo's coalition concept, which is in its infancy, could involve foreign militaries but that their task would be to observe, not to escort commercial ships.

"It's not about shooting at people. It's about shooting pictures of Iranians," said the official travelling with Mr Pompeo.

US officials cast the drone as a defensive push against Iran, which has in the past threatened to shut the Strait of Hormuz, the chokepoint to the Gulf through which 20 per cent of the world's oil flows.

"We have to build a coalition to prevent what the Iranians are doing in the Gulf, which is to inhibit or undermine the freedom of commerce and trade and freedom of navigation," the official said on condition of anonymity.

The coalition would provide "both material and financial" support "to have eyes on all the shipping", the official said.

Mr Pompeo met in Jeddah with Saudi King Salman and Crown Prince Mohammed bin Salman, who last week was linked by a UN investigator to the killing and dismemberment of US-based dissident writer Jamal Khashoggi.

US officials said they did not know if Mr Pompeo raised the issue with Prince Mohammed.