U.S. Secretary of State Rex Tillerson left Qatar on Thursday after a tour of Gulf Arab countries aimed at easing the worst regional dispute in years, but made no comment on whether any progress had been made in resolving the month-long crisis.

Tillerson declined questions after meeting Qatar's emir, Sheikh Tamim bin Hamad al-Thani, to discuss Doha's feud with four Arab states.

"Hope to see you again under better circumstances," the emir's brother, Sheikh Mohammad bin Hamad al Thani said, seeing Tillerson off at the airport in Doha.

On Wednesday, Tillerson left the Saudi Red Sea city of Jeddah after talks with ministers from Saudi Arabia, Bahrain, the United Arab Emirates and Egypt, the four countries which have imposed travel and commercial sanctions on Qatar.

He had earlier signed a U.S.-Qatari accord on terrorism financing in an effort to help ease the crisis, but Qatar's opponents said it fell short of allaying their concerns.

"No wavering on the 13 demands" the headline of the Abu Dhabi government-linked al-Ittihad newspaper read on Thursday, refering to a list of demands the Arab states had put to Qatar.

Starting from June 5, Bahrain, Comoros, Egypt, Maldives, Mauritania, Saudi Arabia, United Arab Emirates, Yemen's internationally backed government and one of Libya's three governments have cut off diplomatic ties with Qatar over accusations that the Gulf nation funds militant groups – charges Doha calls baseless.

Several other Muslim nations also downgraded their diplomatic ties with Qatar.

The Saudi-led anti-Qatar axis issued an ultimatum earlier, including demands Qatar shut down a Turkish military base in Doha, shutting Al Jazeera and curbing ties with Iran.

Qatar rejected the 13-point list of demands its neighbors made for lifting their sanctions.