Tillerson added: "A productive next step would be for each of the countries to sit together and continue this conversation. The United States will continue to stay in close contact with all parties and will continue to support the mediation efforts of the Emir of Kuwait", the statement added.
Tillerson's comments came in a short statement a day after the U.S. State Department bluntly questioned Saudi Arabia and the United Arab Emirate's motives for announcing their boycott of Qatar on June 5, saying it was "mystified" the Gulf states had not released their grievances. Having urged Qatar's neighbours to come up with "reasonable and actionable" demands, the USA has sought to distance itself from the crisis.
"We are reviewing these demands out of respect for ... regional security and there will be an official response from our ministry of foreign affairs", he said. ".This approach of 13 demands is against global law because you can not attack or intervene in the sovereignty of a country."Bahrain's foreign minister said on Sunday that outside interference would not solve the problem."It is in the interest of these powers to respect the existing regional order which is capable of solving any issue that may arise", Sheikh Khalid bin Ahmed al-Khalifa said in a message on Twitter, without naming Turkey".
Saudi Arabia, the United Arab Emirates, Bahrain and Egypt have sent Qatar a list of 13 demands and have asked the country to comply to them within 10 days.
"Their role should be to put pressure on Qatar", said Gargash.
The ultimatum was quickly rejected by Qatar's ally, Turkey, and Al Jazeera dismissed it as an effort "to silence the freedom of expression in the region and to suppress people's right to information and the right to be heard".
"NHRC noted that Qatar's acceptance of these demands and conditions would subject the country to global accountability and violate its obligations on human rights conventions".
The move has left Qatar, whose only land border is shared with Saudi Arabia, under a de facto blockade by its neighbours.
US President Donald Trump has taken a hard line towards Qatar, accusing it of being a "high-level" sponsor of terrorism.
Iranian President Hassan Rouhani called Al-Thani on Sunday to reiterate Tehran's policy to "cement ties" with Doha.
Mr Erdogan approved Qatar's stance and said calls for Turkish troops to withdraw from the country were "disrespectful" on Sunday.
The US maintains its largest concentration of military personnel in the Middle East at Qatar's Al Udeid Air Base.