Syria would also need to take steps to stamp out a multi-billion dollar drug trafficking trade to Jordan and the Gulf from it's southern borders.
Qatar, which has previously spoken out against efforts by some countries to reestablish relations with Damascus, has not changed its position, Sheikh Mohammed said.
The goal was to buttress Iran's defenses against Israel in Syria and to strengthen Syrian President Bashar al-Assad, as per sources.
The rapprochement between Riyadh and Tehran is part of a major regional realignment, amid rising tensions between Iran and Israel.
Tunisia reinstated a limited diplomatic mission to Syria in 2017, in part to help track more than 3,000 Tunisian militants fighting in Syria.
Prince Faisal bin Farhan Al Saud said that isolating Syria was not working and that dialog with Damascus was needed.
Legal representatives for the Iraqi, Jordanian, Palestinian, Libyan, Egyptian, and Emirati houses of representatives traveled to Syria to meet with Assad.