The International Criminal Court is deliberating whether to issue an arrest warrant for Libyan leader Muammar Gaddafi.
The judges will also discuss whether his son Saif and security chief Abdullah al-Sanussi are also to be arrested.
Libya does not recognise the authority of the ICC.
Meanwhile South African President Jacob Zuma has been meeting the leaders of Mauritania, Mali, Congo Republic and Uganda to discuss Libya ahead of the African Union summit in Equatorial Guinea.
Ramtane Lamamra, the African Union commissioner, said “Libyan parties should begin the national dialogue for a comprehensive ceasefire, national reconciliation, transitional arrangements as well as the agenda for democratic transformation.”
Around 100 people have arrived in Tripoli on board a Red Cross ship from the rebel held city of Benghazi in an attempt to reunite families split by the ongoing conflict.