Al-Muallem said that the Syrian regime has communicated with the Syrian Democratic Forces (SDF), which is backed by the United States, but negotiations have not started as yet.
"We never had", Assad was quoted as telling Russia Today.
After regaining control of Syria's two largest cities - Aleppo and Damascus - Assad this spring set his sights on areas in the country that remain outside his control and in rebel hands.
But, she did call upon Syria and Iran - along with Russian Federation a key military ally to the Assad regime - to pressure the Assad regime to ensure violence does not break out between Syrian and American-backed forces.
The Pentagon is warning the Syrian regime to refrain from attacking US -backed forces in the country, shortly after Syrian President Bashar Assad demanded USA forces depart and threatened to launch attacks on territory held by American-backed Kurdish paramilitary units in northeast Syria.
Syria's foreign minister also denied Saturday there is an Iranian military presence on the country.
"Since the beginning of the crisis, Iran has supported Syria in the war against terrorism backed and financed regionally and internationally", he said.
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In an interview with Russia's RT television on May 31, Assad asserted that he is willing to negotiate with Kurdish-led Syrian Democratic Forces (SDF) that are allied with and embedded with US forces and now hold about one-quarter of Syria's territory.
Over the last several months, Israel was credited with bombing numerous Iranian military sites inside Syria, increasing those strikes after Iran sent an armed drone into Israeli territory.
Assad told Russian TV Thursday that Syria had no Iranian troops on its soil.
Moscow and Tel Aviv held advanced talks Thursday concerning Syria and agreed to "limit" the presence of Tehran in the south of the country.
The Kremlin has given its consent for Israel to attack Syria on condition that it leaves Assad's assets intact, Israel Hayom reported, citing an Arabic-language newspaper.
Russian Ambassador Vasily Nebenzya announced to journalists Friday that an agreement was reached that would involve removing all Iranian forces from the Syria-Israel border in the Golan Heights.
"Israel appreciates Russia's understanding of our security needs, especially with regard to the situation on our northern border", Lieberman said following his meeting.