Israel considers Syrian regime forces that enter the demilitarized buffer zone between the two countries a legitimate target, according to reports by Israel TV news Wednesday night.
The southwest was an early hotbed of the uprising against Syrian President Bashar Assad and defeat there stands to leave rebels with just one remaining stronghold-the area around Idlib province bordering Turkey in the northwest.
"I look forward to a frank discussion to discuss how to arrive at a ceasefire as soon as possible", Mr Safadi said in Amman, adding that he would also be seeking ways to alleviate a worsening humanitarian situation.
Israel beefed up its tank and artillery deployment on the Golan Heights frontier with Syria on Sunday, cautioning Damascus' forces to keep a distance as they sweep rebel-held areas over the border.
The Russian-backed Syrian government has mounted a campaign to recover southwestern Syria from rebels.
Rebels in southern Syria were divided on Monday over whether to accept deals offered by Russian Federation that would see regime forces retake control of opposition towns.
But it is simultaneously brokering talks with rebel towns for negotiated surrenders in a carrot-and-stick strategy that Russian Federation and the regime have used in the past to retake swathes of rebel-held territory.
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Malkawi said the United Nations was awaiting the "right time" to begin distributing aid in accordance with the world body's working principles.
A source close to the talks said the Russian delegation at the talks warned, "Today will be the last round - either the rebels agree to these terms, or the military operations resume", with the military returning to pre-2011 positions and local police taking over towns in coordination with Russian military police.
Haq said the Office of the United Nations High Commissioner for Human Rights had urged Jordan to open its border and for other countries in the region to welcome the civilian refugees.
Intensive air strikes targeting the towns of Sayda and Tafas in the countryside of Dara'a were reported following the failure of negotiations between rebels and the Russian side, according to Sky News Arabia.
A picture taken on July 4, 2018 from the Golan Heights shows displaced Syrians from the province of Daraa staging a protest calling for worldwide protection, in the Syrian village of al-Rafid, near the border fence with Israel.
A week ago the global organisation said that 160,000 people had been displaced.
World powers have criticised the operation for violating a ceasefire announced a year ago by Washington, Amman and Moscow, but that has not halted the blitz.