The talks come after clashes broke out in Tripoli between rival groups, raising fears of escalating violence in the conflict-hit country.
The new government in the country's east will be headed by Fathi Bashagha while Abdulhamid Dbeibah heads the unity government in Tripoli.
Libya has failed to hold its first-ever presidential elections as scheduled in December, a major blow to international efforts to end decade-long chaos in the oil-rich Mediterranean nation.
From Gulf countries lifting the Qatar blockade to the bombing of Gaza and a coup in Sudan, these were some of the moments that shaped the Middle East.
The parliamentary committee charged with overseeing the election recommended laying out a “new, realistic and applicable roadmap, with defined stages.”
Five Western nations have said they would continue to recognise Libya's interim government after its presidential election was delayed, but called for a new polling date to be swiftly set.
Dozens of MPs called Libyans to take the streets after a parliamentary committee postponed the vote and suggested January 24 as a new date.
Libya’s upcoming presidential vote - or its absence - could force a U-turn back towards violence, as elections often do in fragile contexts.
Gaddafi, who registered to run on November 14, was among 25 candidates whose bids have been rejected from running in the December 24 election.
Jan Kubis had succeeded Ghassan Salame, who quit his position in March last year due to stress.
Saif al Islam Gaddafi has submitted his papers to contest elections, but many see that as the slippery slope towards autocracy.
Saddam Haftar visited Tel Aviv last week for a secret meeting, Haaretz reports, hinting at a deal in which the Haftars offer Israel normalisation of ties in exchange for military and diplomatic support.
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