“The members of parliament discussed with the Presidential Council the proposed unity government’s program as well as the names of ministers,” the Libyan news agency LANA, which is close to the recognized authorities, reported.
It added that the session was adjourned after several hours of “heated debate” and was set to resume on Sunday at 0800 GMT.
The oil-rich North African country has had rival administrations since the summer of 2014 when the internationally recognized government fled Tripoli after a militia alliance including Islamists overran the capital.
That alliance has established its own administration and parliament called the General National Congress.
The United Nations has been pushing both sides to back a unity government.