Moves towards a cessation of hostilities came as U.S. Marines deployed from vessels anchored off the Greek coast.
Palestinians are keen on a negotiated truce: a recent poll showed 85% favoured a mutual cessation of hostilities.
Rebel spokesman Samson Kwaje said there would only be a cessation of hostilities once all outstanding issues were agreed.
"We have tried to find solutions on paper that would allow us short-term means to achieve an agreement so that there will be a definite cessation of hostilities, " he said.
Former South African President Thabo Mbeki, who heads a mediation panel, said both parties had laid out a six-point plan to reduce escalating tensions that included an immediate cessation of hostilities and the withdrawal of armed forces from each other's territory.
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"This is a time when we must all urgently work towards a full cessation of hostilities, providing the space for humanitarian access and creating the conditions for a political process to address the legitimate aspirations and concerns of the Syrian people, " Annan said.
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Mr. CHURKIN: By the end of 72 hours, we hope that there is going to be a deal, that there is going to be a big draft resolution for full-fledged cessation of hostilities, charting the course towards the political process which will bring about peaceful resolution of this crisis.
Expressing utmost concern at the spiralling deadly violence and destruction in Lebanon, the Security Council today called for a full cessation of hostilities in the month-long war between Israel and Hizbollah, mapping out a formula for the phased withdrawal of the Israel Defence Forces from southern Lebanon, while up to 15, 000 United Nations peacekeepers help Lebanese troops take control of the area.
Ms Rice said Mr Annan's deputy, Nasser al-Kidwa, had had "constructive exchanges" with the opposition to urge them to cease their operations within 48 hours of a complete cessation of government hostilities.
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