GENEVA: Libya's warring factions agreed Wednesday to end the political crisis and military conflict in the country within weeks, the United Nations said at the end of two days of peace talks in Geneva.

Libya is split between two governments backed by armed factions fighting each other, with ISIS and other armed groups exploiting the resulting security vacuum.

Highlighting the risk that the U.N. talks, which have dragged on for almost a year, become irrelevant as the security situation worsens, Libya's rival governments flew air strikes on Tuesday against suspected Islamic State positions in two cities.

But the U.N. Support Mission in Libya (UNSMIL), headed by special envoy Bernardino Leon, put a brave face on the situation after two days of closed-door talks in Geneva.

"The parties underscored their determination to conclude the dialogue process as soon as possible, with a target date within the coming three weeks," a UNSMIL statement said.

Leon called on the parties at the talks to agree on a national unity government by the end of August and endorse it with a vote in September.

"The parties noted the need for urgent progress on the security track of the dialogue process, in parallel to the progress being made on the political front," the statement said.

Libya Dawn, an alliance of armed groups, drove the internationally recognized government out of the capital, Tripoli, and declared its own government a year ago, leaving the oil-rich country on the verge of anarchy.