Rex Tillerson has been shuttling between meetings with the rival parties, dragged further into the conflict as each side tries to enlist US support.
They demanded Doha to return the funds, $16 billion, which were placed by state companies of these countries as term deposits in Qatari banks.
Afterward, Tillerson's spokesperson Heather Nauert released a statement saying the secretary and Sheikh Mohammad Abdullah Al-Sabah of Kuwait "reaffirmed the need for all parties to exercise restraint to allow for productive diplomatic discussions".
Jubeir was replying to the response of his Qatari counterpart Sheikh Mohammed bin Abdulrahman Al-Thani who said Saudi demands are unacceptable.
The Foreign Minister met US Secretary of State Rex Tillersoni in Washington, yesterday.
Saudi Arabia's official state news agency, citing an official source, said the Kingdom had made a decision to break relations with Qatar "proceeding from the exercise of its sovereign right guaranteed by global law and the protection of national security from the dangers of terrorism and extremism".
Saudi Arabia, the United Arab Emirates, Bahrain and Egypt imposed a boycott on Qatar three weeks ago, accusing it of backing militants - then issued an ultimatum, including demands it shut down a Turkish military base in Doha, shutting the Al Jazeera TV channel and curbing ties with Iran. In the short term, Turkey and Iran have been supplying dairy produce and other food supplies to help Qatar. These demands include closing an Al Jazeera TV.
The extraordinary ultimatum delivered last week to Qatar by Saudi Arabia and its allies-Egypt, the United Arab Emirates (UAE) and Bahrain-is due to expire next Monday with no sign of any resolution to the increasingly tense standoff.
The Qatari riyal stood at the level of 3.64 riyal for the USA dollar since 2001, but after other Arab countries reduced diplomatic relations with Doha, accusing it of terrorism, the rate descended making up 3.68 riyals per dollar.
The list of thirteen demands to which Qatar must respond within ten days appears to reflect longstanding desires - although not publicly stated until very recently - by Riyadh and Abu Dhabi, of which Doha has been dismissive. It is being told that these demands have been supplied to Qatar through Kuwait. The US, which urges a diplomatic solution to the crisis, has been pushing for a list of grievances that are "reasonable and actionable".
"This list of demands is non-negotiable and should be implemented in full", remarked Al Jubeir.
Shipowners and charterers have received official notifications that clearly indicate that vessels may call into Gulf ports on the way from, or on the way to, Qatar ports, Platts also said.