Prime Minister Benjamin Netanyahu also said in remarks to the Knesset on Monday that Iran should be pressured to leave Syria altogether.
Jordan also weighed in saying it has discussed developments in southern Syria with Washington and Moscow and that all three parties agreed on the need to preserve a "de-escalation" zone that was brokered previous year.
Earlier, Russia's foreign minister said in a surprising statement that the Assad regime alone should be present at the border with Israel, stating that "a situation where only Syria's military forces will be placed at the Syrian side of the border with Israel - that should be the result of the process".More news: Chelsea owner Roman Abramovich 'granted Israeli citizenship'
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Meanwhile, Israel is meeting with USA officials to hammer out the details of a joint strategy for dealing with Iran's presence in the Middle East. "Russian Federation has given it room to act against Iran-linked military interests and appears to be more interested in balancing contending fighting coalitions than returning every last piece of territory to the Assad regime's control", the report continues.
"The Syrian Army has always acted in the interests of the Syrian people and doesn't need permission from America or Trump to eliminate terrorists in any part of the country". Israel suspects Syria's ally Iran of seeking to establish a military presence close to territory it controls and has repeatedly struck Syrian and Iranian targets in Syria when it felt threatened.
For its part, Russian Federation agreed with Israel's right to self-defense, according to a report broadcast Monday by Israel's Channel 13 television news.
The unconfirmed report said the negotiations were conducted last weekend between Iran's ambassador to Jordan, who was in one hotel room in Amman with Iranian security personnel, while in the next room there were senior Israeli security officials, including the deputy head of the Mossad. But the area has been tense following a series of recent Israeli strikes on Syrian and Iranian forces.