The main Western-backed Syrian opposition group has called for a ban on the use of ballistic missiles and air power by President Bashar Assad's forces in addition to the prohibition on chemical weapons.
The Syrian National Coalition's statement comes a day after Russia and the United States reached an agreement to secure and destroy the Syrian government's chemical stockpile, averting for now US military strikes against the Assad regime. But the framework deal does not address Syria's broader civil war or the use of conventional weapons, which have been responsible for the vast majority of the more than 100,000 deaths in the conflict.
"Chemical weapons attacks are a part of a bigger scheme of crimes against humanity committed by the Assad regime, including using the Syrian air forces and ballistic missiles on residential areas," the Coalition said in a statement posted on its official website.
"The Syrian Coalition insists that the prohibition of the use of chemical weapons, which killed more than 1,400 Syrian civilians, be extended to include the prohibition of the use of air forces and ballistic missiles on residential areas."
While such a ban would likely curb the bloodshed in some areas, it's unclear how such a ban would be imposed or enforced.
The US accuses the Assad government of carrying out a poison gas attack against rebel-held suburbs of Damascus on August 21 that Washington says killed more than 1,400 people. Other estimates of the death toll are far lower. The Syrian government denies the allegations and blames the rebels.
The suspected chemical attack raised the prospect of US-led punitive military action against Syria. The rebels hoped that foreign missile strikes would tip the balance of power on the ground in their favour. But as the strikes appeared imminent, President Barack Obama decided to ask Congress for authorisation, delaying any armed response.
Russia then floated the idea of Syria relinquishing its chemical arsenal to avert Western strikes, and the Assad regime quickly agreed. The US and Russia then struck a framework agreement on Saturday to secure and destroy Syria's chemical stockpile.
In its statement, the opposition said that securing Syria's chemical weapons "must be for achieving justice and bringing the perpetrators of chemical weapons to the international court".
The Coalition also repeated its calls for military aid in order to tip the balance of power on the ground and "force the regime to end its military campaign and accept a political solution that leads to the democratic transformation of Syria."
The US and its allies have balked at sending heavy weapons to the rebels, fearful the arms could land in the hands of extremists who are among the most effective fighters in the opposition ranks. Washington announced plans months ago to deliver some weapons to the opposition, but rebels say they have yet to receive anything.
Mr Obama says a US-Russian agreement offers a chance to destroy Syria's stockpile of chemical weapons and promises to end the threat they pose to Syrians and the world.
But the two powers are divided over the fate of Assad. Mr Obama, speaking in a television interview taped before yesterday's announcement of the chemical weapons deal, said Russian President Vladimir Putin is "protecting" Assad and doesn't share American "values" in Syria.
"He has a different attitude about the Assad regime," Mr Obama told ABC's "This Week."
"But what I've also said to him directly is that we both have an interest in preventing chaos, we both have an interest in preventing terrorism. The situation in Syria right now is untenable. As long as MrAssad's in power, there is going be some sort of conflict there."
His interview was taped Friday and aired today.
Despite his calls for Assad to leave power, Mr Obama reiterated that he would not use military force to achieve that objective. He said securing Syria's chemical weapons is his "primary concern".
In setting out one of the most ambitious arms-control efforts in history, the US. and Russia reached an agreement to inventory Syria's chemical weapons programme and seize all its components. The agreement includes imposing penalties if the Assad government fails to comply.
In a written statement following the agreement, Mr Obama said the world expects Syria to live up to its public commitments to hand over its chemical weapons stockpile. Warning that the US was prepared to act if Syria falls short, he also cautioned that more work remains even after the progress the deal represents.
The deal to destroy Syria's chemical weapons also offers the potential for reviving international peace talks to end a civil war that has claimed more than 100,000 lives and sent two million refugees fleeing for safety, and now threatens the stability of the entire Mideast.