Kuwait also stressed that resolving the crisis must be done through the GCC and through dialogue between the brotherly countries.
Saudi Arabia and its allies imposed an economic and diplomatic boycott on Qatar last week over what they say is the gas-rich Gulf nation's support for Iran and militant groups - charges which Doha has denied.
Nationals of countries that cut diplomatic ties with Qatar this week are free to remain in the Gulf state in line with existing regulations, according to the ministry of interior.
"Iran Air has so far transported food and vegetables with four flights to Qatar", Shahrokh Noushabadi was also quoted as saying by Fars News Agency on Saturday.
A previous mediation effort by Kuwait in which the Emir Sheikh Sabah al-Ahmad al-Jaber al-Sabah shuttled between Riyadh, Abu Dhabi and Doha, failed to achieve an immediate breakthrough.
"Iran offered help, as well as other friendly countries".
But a Qatari diplomat said the crisis reflected a lack of US leadership.
Egypt's President Abdel Fattah Al-Sisi praised U.S. president Donald Trump Saturday for his efforts on tackling terrorism and his role in "the formation of a united front to combat terrorism". "(It) gives others the impression the USA does not know how to manage the relationship with its allies or is incapable".
Saudi Arabia, the United Arab Emirates, Bahrain and Egypt have accused Qatar of supporting "terrorism".
But it was importing 80 percent of its food from bigger Gulf Arab neighbours before they cut ties and is now in talks with Iran and Turkey to secure food and water supplies.
Senior officials from the countries opposed to Qatar have warned it that appealing for foreign assistance will not advance a reconciliation.
Al-Khalifa said Erdogan explained to him that the Turkish military base in Qatar is not there to target any country, but to ensure the security of the region.
Gulf crisis mediator Kuwait said on Sunday that isolated Qatar was "ready to understand" the concerns of its neighbors and bolster stability in the region, in a sign that the week-old spat may be easing.
"Saudi Arabia, the UAE, and Bahrain are toying with the lives of thousands of Gulf residents as part of their dispute with Qatar, splitting up families and destroying peoples' livelihoods and education", Amnesty International said on Friday.