After Lavrov's comments, Israel called for its arch-foe Iran to be denied any military presence in Syria.
The move comes as Israeli Prime Minister Benjamin Netanyahu prepares to discuss Iran with several European leaders, including German Chancellor Angela Merkel, French President Emmanuel Macron, and UK Prime Minister Theresa May, next week.
Russian Federation and Israel have come to an extraordinary agreement over the role of Iranian troops in Syria, paving the way for a regime offensive against one of the last remaining rebel-held areas in the south of the country.
Reports suggest that Syria's government, which has been reinforced and supported by Russian Federation, is preparing for a major offensive against rebel groups in the area bordering Israel.
Meanwhile, Israel is meeting with US officials to hammer out the details of a joint strategy for dealing with Iran's presence in the Middle East.More news: N Korea official Kim Yong-chol 'heads to United States for talks'
Moscow, Syrian President Bashar al-Assad's ally, brokered a string of de-escalation zones for insurgent enclaves previous year, though fighting raged on in some.
The report indicated that Iran used Jordan as a go-between to relay a message to Israel, saying it would not operate in southeastern Syria near the border with Jordan.. "I think they understand that if the Iranians continue on the present course this will lead to escalation and will blow their plans out of the water".
Iran's ambassador to Jordan, Dr. Mostafa Moslehzadeh, reportedly received instructions from senior officials to conduct the negotiations with Israel in Amman.
Israel and Iran recently used back channels to reach behind-the-scenes understandings over Syrian maneuvers in the southern Golan Heights, Saudi media reported Sunday..
One participant told Elaph that the Iranians "arrived at a quick agreement" that its forces would not intervene in fighting near the Golan Heights and the Israel-Jordan border, surprising the Israeli representatives. Israeli forces have carried out increasingly intense strikes against Iranian targets in Syria in recent weeks and in the process have inflicted serious damage on the Assad regime's air defences.