Recep Tayyip Erdogan and Vladimir Putin discussed Syria particularly Afrin and Idlib, during their phone conversation, the source said, who asked not to be named due to restrictions on talking to the media.
"Respect for other countries' independence and geographical borders will lead to promotion of security in the region".
Kremlin spokesman Dmitry Peskov said they discussed a possible meeting between Putin, Erdogan, and Iranian President Hassan Rohani, but that no date was agreed.
Turkish Foreign Minister Mevlut Cavusoglu arrived in Tehran for an official visit on Wednesday and before meeting Iran's president, he met and talked with Iranian Foreign Minister Mohammad Javad Zarif.
The Syrian regime, however, has repeatedly violated the deal and has targeted residential areas in opposition-held zones like Idlib.
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For his part, Cavusoglu blamed the USA for hatching new plots in the region to undermine the growing ties between Ankara and Tehran, calling for close cooperation to thwart those schemes.
The 20-day-long Turkish military campaign against Afrin used to be focused on the countryside of the Kurdish-controlled enclave, but on Thursday night Turkish warplanes struck the city, the report said.
In his press conference on Tuesday, Rouhani had wished that Turkey would stop the ongoing Turkish military operation in northern Syria, saying that it only increases tension in the war-torn country.
Ankara views the YPG as the Syrian branch of the outlawed Kurdistan Workers' Party (PKK).