Turkey considers the Kurdish YPG forces to be part of a terrorist group.
But a senior Syrian Kurdish official said Syrian government troops had arrived at the front lines of the flash-point town of Manbij but had not taken over the town and that United States troops based in Manbij had not withdrawn.
The meeting will be the latest step in the Astana peace process - set up in early 2017 by Russian Federation and Iran, who support President Bashar al-Assad's regime in Syria, and opposition backer Turkey.
The Syrian regime claimed on Friday that its forces entered the northern Syrian city of Manbij after the YPG terrorist group invited regime leader Assad to shield them from a planned anti-terror operation by Turkey in the region.
Following up on turkey's Foreign Minister Mevlut Cavusoglu warning France against keeping troops in Syria after the U.S. pullout, Turkey's state-run Anadolu newspaper has exposed the locations of French army bases across Syria.
Ahmed said the Kurdish militiaremain inside the city.
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"The aim is to ward off a Turkish offensive", Ahmed said.
According to Rami Abdel Rahman, head of the UK-based Syrian Observatory for Human Rights war monitor, the government forces were deployed "along the contact lines between the Turks and the forces of the [SDF-run] Military Council starting from Euphrates River, north-west of Manbij all the way to Dadad and Arimeh". The French, after all, knew their bases were vulnerable without the U.S., and similarly must've assumed Turkey knew that as well.
The threats triggered the USA announcement of withdrawing troops from Syria. The Nato allies reached an agreement in June for the YPG to leave the town but Turkey says its implementation has been delayed.
The Syrian army said in its statement on Friday that its troops had raised the national flag in Manbij and would guarantee security "for all Syrian citizens and others present in the area".
Kremlin spokesman Dmitry Peskov on Friday described the development as a "positive step" that could help "stabilize the situation".
The Syrian government has said it welcomes the Kurdish group returning under its authority.
Peskov said the situation would be discussed Saturday during a visit to Moscow by the Turkish foreign affairs and defence ministers, to "clarify" the situation and "synchronise actions" between the two countries.