Violence has rocked the city of Tripoli over the last two weeks as pro and anti-Assad protestors have clashed repeatedly.
At least 30 people were killed and more than 200 wounded in the latest round of gunbattles which broke out on May 19 between the predominantly Alawite neighborhood of Jabal Mohsen and mainly Sunni Bab al-Tabbaneh.
March 14 criticized the government of caretaker Prime Minister Najib Mikati for "distancing" itself from the Tripoli violence.
"Self-disassociation [policy] from what is happening is a great sin and a crime that must be stopped," said the statement read by Fares Soueid.
The violence represents a microcasm of what might happen all over Lebanon if the Syrian civil war jumps the border - a nasty civil war that could eventually draw Israel into conflict with Hezb'allah.
Border incidents like the one that happened yesterday are not helping the dicey situation.
Several fighters were killed in an overnight clash between Hezbollah fighters and Syrian rebel forces in Lebanon's eastern border region with Syria, Lebanese security sources said on Sunday.
The draft statement also urged forces loyal to Assad and rebels trying to oust him "to do their utmost to avoid civilian casualties and for the Syrian Government to exercise its responsibility to protect civilians".
One source said 15 rebels were killed in the fighting east of the Bekaa Valley town of Baalbek, but the exact toll would not be clear until bodies could be retrieved from the remote and rugged border area. One Hezbollah fighter also died, he said.
Syria's two-year-old conflict has increasingly sucked in its smaller neighbor, with deadly fighting shaking the northern Lebanese city of Tripoli and rockets hitting the Bekaa Valley and southern Beirut.
Guerrillas from Shi'ite Muslim Hezbollah, which supports the Iranian-backed President Bashar al-Assad, are fighting alongside his army to drive rebels from the Syrian border town of Qusair, while Lebanese Sunni Muslim fighters have joined the anti-Assad revolt.
The latest fighting took place near Ain el-Jaouze in a finger of Lebanese territory which extends into Syria. The sources said the rebels may have been ambushed as they set up rockets to fire into Shi'ite areas of the Bekaa Valley.
Rebels have said they will carry out attacks inside Lebanon in response to Hezbollah's support for Assad's assault on Qusair, a strategic town for rebel weapons supplies and fighters coming into Syria from Lebanon.
The United Nations said on Saturday that up to 1,500 wounded people might be trapped inside Qusair and warned all sides that they would be held accountable for the suffering of civilians.
But Security Council diplomats said Russia blocked a council declaration of alarm over the two-week siege of Qusair, arguing that the council had done nothing when the town was first taken over by anti-Assad fighters.
At least 18 rockets fired by Syrian rebels rained down on a Hezb'allah stronghold in southern Beirut on Friday. The clash may have its origins in the terrorist group trying to prevent further rocket attacks by the rebels.
There are still people in and out of government in Lebanon who want to avoid a civil war. The caretaker prime minister has called for a meeting of the National Dialogue - a committee representing all factions in Lebanon. But it may get to the point soon where meetings will become useless and the violence gets out of control to engulf the entire nation.