"It's a positive work. It's a good exchange between all participants, and I think we are making good progress," said Bernardino Leon, U.N. envoy to Libya.
But we shouldn't necessarily expect an end to the violence in Libya any time soon.
The group is called Libya Dawn and has declared itself the national government. Its leader, Omar al-Hassi, refers to himself as prime minister. He told the BBC he wasn't invited to the talks. (Video via NTDTV)
"Mr. Leon never invited me. I excuse him and I wish him the best," said Al-Hassi.
The pressure to find an agreement is high. The current power vacuum in Libya has left ample space for militant groups loyal to ISIS, like the one claiming responsibility for the attack on a hotel in Tripoli on Tuesday. (Video via Euronews)
The talks in Geneva continued Wednesday, with municipal and local Libyan leaders discussing what they call confidence-building measures.