Earlier on Thursday, Turkish Foreign Minister Mevlut Cavusoglu met with his Saudi counterpart Adel al-Jubeir in Riyadh.
An attempted military coup took place in Turkey on July 15. It was suppressed the following day. Turkish authorities have accused Gulen of having incited the coup and have demanded his extradition from the United States.
Following the coup, thousands of people, mostly officials, legal and educational workers, were detained or dismissed over alleged ties to Gulen or his supporters' movement.
The GCC is a powerful economic and military alliance of the Middle East nations – Bahrain, Kuwait, Oman, Qatar, Saudi Arabia and the United Arab Emirates.