In Ankara's latest show of support for Qatar, Erdogan hosted Defence Minister Khaled bin Mohammed al-Attiyah for talks at the headquarters of the ruling party in Ankara.
The meeting came as Ankara, which has stood by Doha throughout the crisis, resists pressure to shutter a Turkish military base on the emirate that Qatar's neighbours want to see closed.
Saudi Arabia, the United Arab Emirates, Egypt and Bahrain announced on June 5 the suspension of political, economic and diplomatic ties with Qatar, accusing it of supporting extremist groups.
Ankara's attempts to mediate between the sides have so far come to nothing but after the talks in the Turkish capital presidential spokesman Ibrahim Kalin said he was hopeful of a resolution.
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"There are some indications that a solution is possible. This is our general impression. We need to continue efforts to take measures that go in the right direction," he said.
Crucially, Ankara is also setting up a military base on the emirate that is set to give Turkey a new foothold in the Gulf, sending in a first deployment of two dozen troops.
Riyadh and its allies issued 13 demands to Qatar for resolving the crisis, including the closure of the Turkish military base and the Doha-based broadcaster Al-Jazeera.
Turkey criticised the ultimatum but has also taken care not to directly target Saudi Arabia, the key protagonist in the crisis.