“The process goes on. There is no chance for small groups or personalities to hijack this process,” he told a press conference in Tunis, adding that further meetings would be held in the coming days.
“The political solution is the only real alternative,” said Leon.
“The majority of Libyans want a political solution,” while the parties which had rejected the proposals had not come up with any alternative, the envoy said.
Libya has had two administrations since August 2014, when a militia alliance that includes Islamists overran the capital, forcing the internationally recognised government to take refuge in Tobruk in the east.
After almost a year of arduous negotiations, Leon on October 9 put forward proposals for a power-sharing government, but both sides have balked at the appointments.
The UN Security Council has threatened to impose sanctions on those who block a peace deal or undermine any political transition in Libya, which has descended into chaos since its 2011 revolution.