A top Saudi source, as per Reuters, claimed that the production could be fully restored within two to three weeks and that the kingdom was close to restoring 70 per cent of the 5.7 million barrels that were lost in the attacks.
US Defense Secretary Mark Esper said Iran continues to violate worldwide norms and has chosen to promote instability and danger throughout the region. "Who started the conflict?" he added, blaming Washington and its Gulf allies for the war in Yemen.
"The attack could not have originated from Yemen", he said, disputing the claim by Yemen's Iranian-backed Houthi rebels that they launched the weapons.
A United States official, speaking on condition of anonymity, told AFP that the Trump administration has concluded that last weekend's attack involved cruise missiles from Iran and that evidence would be presented at the UN General Assembly next week.
Saudi officials showed journalists the material at a news conference on Wednesday in Riyadh, the kingdom's capital.
But, he added in a video carried by state media, "We don't want conflict in the region.Who started the conflict?" He said the drones fired long-range missiles and warned the United Arab Emirates that it could be also be targeted.
A senior USA official called for a UN Security Council response to the attacks, although success is unlikely because diplomats say Russian Federation and China - who have veto powers - are likely to shield Iran.
However, the Saudi defence ministry said its spokesman would present evidence from the site of the weekend attacks that halved Saudi oil production, sending global energy markets into a tailspin.
Russian President Vladimir Putin also discussed the weekend attacks by phone with Salman on Wednesday, the Kremlin said.
Investors on Monday digested news of the massive drone attacks on Saudi Arabian oil infrastructure at Abqaiq and Khurais.
"Saudi Arabia has been attacked, which has global consequences".
Saudi Arabian Crown Prince Mohammed bin Salman said on Wednesday, in a call with South Korea's leader, that the attack was a "real test of the global will" to confront subversion of worldwide stability, state media reported.
In a national security meeting on Monday, US military leaders provided Trump with a menu of possible actions against Iran.
France, which is trying to salvage an worldwide nuclear deal with Iran that Washington quit past year, said it wanted to establish the facts before reacting.
The apparent hardening of the USA position came as Iran's supreme leader Ayatollah Ali Khamenei ruled out negotiations with Washington "at any level".
Benchmark U.S. crude was down 42 cents to $58.92 per barrel in electronic trading Wednesday.
While Pompeo directly blamed Iran for the incident - which forced state-owned Saudi Aramco to half its production - Trump has stopped short, saying he wanted to wait for a final intelligence report. Both nations are US allies and have been fighting against the Houthis in Yemen since March 2015. Tehran denies any involvement.