It added that it "supports the position of the Palestinian president calling for a total cessation of (Israeli) settlement to allow the resumption of direct negotiations."
Abbas spokesman Nabil Abu Rudeina said the statement "offers huge support for the position of president Abbas.
"The committee will convene again in a month to study the alternatives, which gives the US administration a chance between now and then to try to find a solution to the settlements issue," Abu Rudeina said.
An official who attended the meeting told AFP on condition of anonymity that among the alternatives proposed by Abbas if the talks fail was asking the UN Security Council and Washington to recognise a Palestinian state on 1967 pre-war borders.
Another was a recourse to the UN General Assembly to demand that the occupied territories be placed under international mandate.
Abbas came to Sirte to seek Arab backing to withdraw from the peace negotiations after Israel adamantly refused to extend a freeze on settlement building that expired on September 26.
Last-ditch efforts to reach a compromise appeared to have failed, with Israel silent on the moratorium and the Palestinians insisting they would not talk while settlement activity continued on land they want as a future state.
The United States was yet to react to the statement, which came after Arab League chief Amr Mussa gave a dire assessment of the outlook for the peace talks which resumed on September 2 after a 20-month hiatus.
"The situation is negative and is not favourable to direct negotiations," Mussa said, adding there were many alternative measures the Arabs could take including "going to the (UN) Security Council."
With the peace talks on tenterhooks, fresh violence erupted in the occupied West Bank when Israeli forces killed two Hamas militants said to be behind an August attack that killed four settlers, one of them pregnant.
And in east Jerusalem, two stone-throwing Palestinian boys were run over and injured by a car driven by a hardline Jewish settler leader.
US Secretary of State Hillary Clinton reassured Abbas that Washington would bid to coax Israeli Prime Minister Benjamin Netanyahu into renewing settlement curbs "until the very last minute," Abu Rudeina told AFP earlier.
In response, the Palestinian leader said he was "ready to resume negotiations on condition there is a clear freeze of the settlement activities."
Netanyahu has made no move to renew the freeze, partly because he does not have the support for that within his mostly right-wing coalition.
On Friday, his spokesman could only say Israel was "interested in continuing the direct negotiations" aimed at securing a peace agreement within one year, and "hopes that the other side will not leave the table."
Abbas had hinted to Palestinian officials in Amman that the crisis could even see him tendering his resignation in Sirte, an official with the Palestinian National Council said.
At a meeting on Wednesday, Khaled Mesmar told AFP, Abbas hinted at "new and important things... These new things include the possibility of resigning."
For the Palestinians, Jewish settlements are a major threat to the establishment of a viable future state in the West Bank, and they see the freezing of settlements as a crucial test of Israel's intentions.
The crisis has prompted a flurry of US diplomatic activity, with Washington offering Israel a package of "incentives" in return for extending the freeze "for two or three months," Israel's US ambassador told the Washington Post.
Syrian Foreign Minister Walid Muallem said that the incentive was a deal for Israel to buy 20 US-made fighter jets, which he warned would "seriously threaten stability and security in the region."
But Netanyahu on Thursday deflected blame towards the Palestinians.
"The question needs to be directed to the Palestinians: why are you abandoning the talks?" he told reporters.
"Don't turn your backs on peace; stay in the talks. This is what needs to be asked today, and not of the Israeli government."