The current production curb pact calls for participating countries to trim output by 1.8 million barrels a day.
Saudi Arabia has a maximum sustainable capacity of 12 million bpd, but it has never tested that level of production.
The White House statement aligned with one by the state-run Saudi Press Agency saying that the Saudi monarch and Mr Trump, in a phone call Saturday, discussed efforts by the oil-producing countries to compensate potential shortages in oil supply.
Saudi Arabia's official government press agency gave a more ambiguous description of the king's discussion with Trump.
Iran opposed any changes to the original production-cut deal at a time when its oil industry is facing renewed sanctions over Trump's decision to quit the worldwide nuclear deal with Tehran.
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Low himself said he would need some time to ponder his next move after 12 years in charge of the Germany squad. They had a disappointing draw with Iceland (1:1) and a thorough beating from Croatia (0:3).
The United States has been seeking to convince countries to halt imports of Iranian oil from November, when Washington will re-impose sanctions after pulling out of the deal aimed at halting Iran's nuclear ambitions. Just a week ago, the Organization of the Petroleum Exporting Countries reached an agreement to gradually increase output by about 700,000 barrels a day to stabilize oil prices and offset lost production in Venezuela, where political and oil patch upheaval has led to a drop of exports.
Saudi Arabia's King Salman bin Abdulaziz Al Saud talks during the opening of 29th Arab Summit in Dhahran, Saudi Arabia April 15, 2018.
Iran is the fifth-largest oil producer in the world, pumping about 4.7 million barrels per day (bpd), or nearly 5 per cent of total output, much of it to China and other energy-hungry nations such as India. Iran now exports 2.9 million barrels per day of crude oil and condensate to Asian and European markets. When Trump withdrew and reimposed sanctions, that meant Iranian exports would come under pressure. Trump made the original request because, he said, oil prices are too high.
In a tweet, Trump said Saudi Arabia would, at his request, increase production "maybe up to 2,000,000 barrels". Oil prices also have risen with the ongoing unrest in Venezuela, as well as with fighting in Libya over control of that country's oil infrastructure.
USA officials are pressing allies in Europe, Asia and the Middle East, including Saudi Arabia, to adhere to the sanctions, which are aimed at pressuring Iran to negotiate a follow-up agreement to halt its nuclear programmes.
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Apart from giving Ranbir Kapoor his highest opener, the director also got his biggest opening day grosser with Sanju . It is expected that the Rajkumar Hirani-directed film will surpass the 100 crore mark if the current trend continues.
State Department officials said this week the United States is prepared to work with countries on a case-by-case basis to help them reduce imports of Iranian oil and suggested some exemptions were possible.
Meanwhile, Iran's Supreme Leader Ayatollah Ali Khamenei on Saturday accused the U.S. of trying to turn Iranians against their government.
"They bring to bear economic pressure to separate the nation from the system ... but six USA presidents before him tried this and had to give up", Khamenei was quoted as saying on Saturday by his website Khamenei.ir, referring to Trump.
Mr Trump a year ago chose Saudi Arabia for his first foreign trip.
That's up about 55 cents from the same period previous year, at a time Mr Trump's Republican Party is trying to hold on to its majorities in Congress in the November midterm elections. "This was managed between the two to rob the pocket of rest of the world", he said.
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On Saturday, they will come up against an opponent they have faced on countless occasions in El Derbi Madrileno . That miss, however, has probably fired the 33-year-old to come up with a stronger display in this encounter.