The closed door meeting at the presidential complex started at 10.55 a.m. local time (0755GMT) and ended at 11.55 a.m. (0855GMT) .
During the meeting, the leaders exchanged views on bilateral relations, alongside regional and international issues.
After the meeting, Erdogan will host the trilateral Turkey-Russia-Iran summit on Syria.
After the summit, Rouhani and Russian President Vladimir Putin will join Erdogan at a banquet, followed by a joint news conference with the three leaders.
On March 7, Erdogan and Rouhani discussed recent developments in Syria and agreed to accelerate efforts to realize a cease-fire in order to end the tragedy in Eastern Ghouta and deliver humanitarian aid to civilians.
Last December, the two leaders met in Istanbul during an extraordinary summit of the Organization of Islamic Cooperation.
On Nov. 22, Putin hosted Erdogan and Rouhani at a trilateral summit on Syria in the Black Sea resort of Sochi to discuss progress made in the Astana peace talks as well as changes in de-escalation zones across Syria.
Anadolu Agency
