US President Donald Trump spoke separately with leaders of Qatar, Saudi Arabia and Abu Dhabi late on Sunday. The 4 Gulf nations have accused Qatar of supporting terrorism and destabilizing the Gulf region.
"The Qatari people and us are one people".
Kurtulmus reitereated that Turkey had no intention to shut down its military base in Doha.
While Trump has largely echoed the concerns of the blockading nations, his secretary of state, Rex Tillerson, has called for an end to the blockade, which he said has hurt USA interests in the region.More news: Venus Williams left tearful by vehicle crash questions
The move plunged the country into crisis, sending the stock market tumbling and effectively closing down its airspace.
The deadline by the Saudi bloc to Qatar to meet its terms has been extended by 48 hours.
"The message is about the reply which was prepared earlier by the State of Qatar on the list of collective demands submitted by the State of Kuwait at the end of last month", QNA added.
Gabriel is set to visit Saudi Arabia, the United Arab Emirates, Qatar and mediator Kuwait on his three-day visit.More news: GST rollout will face initial hiccups: Arun Jaitley
"The 13 demands, ultimatum and actions of Saudi Arabia, UAE, Bahrain and Egypt who have targeted Qatar are an affront to worldwide law and comity", read the statement from Desmond de Silva and Rodney Dixon, high-profile lawyers instructed by the Qatari government.
Riyadh and its supporters have already severed air, sea and ground links with Qatar, cutting off vital routes for imports including food. That meeting is due on Thursday.
The Gulf state will now have an additional 48 hours to comply with the demands or come to an agreement with its counterparts.
UAE officials yesterday said that when the deadline expired, economic and political sanctions would become permanent.More news: Tensions high in Hong Kong ahead of milestone Chinese handover anniversary