They did not specify how that would work, and continued differences among the warring sides as well as rebel infighting back home threatened to quickly scuttle the deal. "It's going to be a challenge, it's not going to be easy," the UN's Syria envoy, who mediated between the two sides in the Kazakh capital of Astana, told reporters later.
Russia and Iran, President Bashar Assad's main supporters, and Turkey, the rebels' chief backer, said they will use their "influence" to strengthen the truce, which has been in place since December 30.
US State Department spokesman Mark Toner said today the US welcomes actions that de-escalate violence in the country and called on Russia, Iran and Syria to press the Syrian sides to abide by the cease-fire in order to create an environment more conductive to political discussions.
The US, busy with the presidential transition, had no significant role in the talks between the Syrian government and its armed opponents in Kazakhstan this week.
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"We don't accept any role for Iran in the future of Syria," said Mohammad Alloush, the head of the rebel delegation, insisting that all Iranian-backed foreign militias fighting alongside the Syrian government withdraw from Syria.
Syria's UN envoy Bashar Ja'afari, called it "pitiful" that the opposition was criticizing one of the three guarantors who facilitated the agreement.
"The issue here is that finally we have a consensual paper called final communique or final declaration agreed upon by everybody ... This is what we care about," Ja'afari said.
The government says al-Qaida-linked militants are present in Ain al-Fijeh, which is located in the water-rich Barada Valley northeast of Damascus. Ja'afari accused insurgents of using the water as a weapon but the rebels deny an al-Qaida-linked group is in the area, and have negotiated to include it in the cease-fire agreement.
The statement said the three nations will continue their joint efforts in fighting the extremist Islamic State group and the al-Qaida affiliate in Syria.