Meanwhile, a a delegation from the US National Security Council was reported to have arrived in Israel for talks with security heads about the ceasefire agreement, Israeli media outlets reported.
Israeli Minister for Regional Cooperation Tzachi Hanegbi said Sunday that the agreement "does not answer Israel's unequivocal demands that there will be no developments that bring Iranian or Hezbollah forces closer to Israel's border with Syria in the north".
The delegation includes officials from other US security agencies, and the meetings will be attended also by senior Israeli security officials, a USA official confirmed.
Also expected to be on the Israeli-American agenda is recent claims that Iran has established permanent military bases south of Damascus.
The agreement, announced in a U.S.
As the Russian-Iranian strategic partnership has deepened over the a year ago, Lavrov has sought to play down the potential for a wider regional war arising from Tehran's role in Syria.More news: Potential Fourth Victim of Tampa Serial Killer Found, Police Say
Prime Minister Benjamin Netanyahu says he has put the United States and Russian Federation on notice that Israel will continue to take military action across the frontier in Syria, even as the two powers try to build up a ceasefire there.
"We are controlling our borders, we are protecting our country and we will continue to do so", Netanyahu said in a televised statement at the start of a meeting of his Likud party. "I have also informed our friends, firstly in Washington and also our friends in Moscow, that Israel will act in Syria, including in southern Syria, according to our understanding and according to our security needs".
The statement came a day before Russian Foreign Minister Sergey Lavrov said that Iran could maintain a "legitimate" presence in Syria, the InterFax Russian news agency reported.
According to the official version of the agreement signed over the weekend, all foreign forces, including the Iranian Revolutionary Guards and the Iran-affiliated Shiite militias-most notably Hezbollah, must leave Syrian territory.
The comments, carried by Russian news agencies RIA and Interfax, came following media reports that claimed that the United States and Russia had struck a deal to limit pro-Iranian militias from encroaching on the Israeli and Jordanian borders in southern Syria and would eventually see all non-Syrian fighters purged from the country altogether.
Israel has been carrying out occasional airstrikes against Syrian army positions.