FACTBOX - Issues on the table at Lebanon crisis talks

(Reuters) - Lebanon's rival leaders hold talks in Qatar on Saturday to try to end their political conflict.

The talks will be held according to the terms of a deal brokered by a Qatari-led Arab League delegation which halted the worst fighting among Lebanese since the 1975-90 civil war.

The talks in Doha will seek agreement on two points: how to share seats in a new cabinet and a new parliamentary election law.

Agreement on these issues would pave the way for parliament to convene to elect army commander General Michel Suleiman president. His nomination to the post, which has been vacant since November because of the crisis, is accepted by both sides.

Once Suleiman is elected, the new cabinet will be formed.

GOVERNMENT OF NATIONAL UNITY

The division of seats in cabinet has been a main point of dispute between the U.S.-backed ruling coalition and the Hezbollah-led opponents for 18 months.

The crisis began in November 2006, when the ruling coalition's refusal to give the opposition effective veto power in cabinet prompted the resignation of Shi'ite ministers from Hezbollah and the allied Amal movement. With no Shi'ite ministers, the opposition declared the cabinet illegitimate.

Government in Lebanon is run according to a delicate sectarian system of power-sharing.