Government of National Unity says demarcation of maritime borders between the North African neighbours should be done through talks to ensure the interests of both sides.
Rival factions battle across capital Tripoli, leaving 32 people dead and damaging six hospitals, as UN-backed Dbeibah government condemns "war crimes" by rival administration led by Fathi Bashagha.
The violence, which spread to several Tripoli district, follows months of rising tensions between two administrations vying for control of the North African country and its vast oil resources.
Armed forces surround National Oil Company's headquarters in capital Tripoli as PM Dbeibah fires company's chairman, who refuses to step down.
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.
Libya’s upcoming presidential vote - or its absence - could force a U-turn back towards violence, as elections often do in fragile contexts.
The announcement comes as the country remains mired in bitter divisions over the legal basis for the elections, their dates, and who should be allowed to run.
The country’s elections and transitional justice process will fail without holding Khalifa Haftar and his supporters accountable.
Although experts see the hardening of the UN's position against Haftar as a welcome sign, they criticise the international body for giving him a free hand in Libya and complicating the conflict.
Regional experts say the conference turned a blind eye to the UAE and Russia's divisive role as the two countries reneged on the promises they made in Berlin Conference I.
For regional experts, warlord Khalifa Haftar is sending his forces to fight against Daesh only to hide his 'war crimes' and stay relevant in Libya.
Russia’s plan to open up consular services in Benghazi is another sign that Moscow is not ready to give up on warlord Khalifa Haftar.
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