The Head of the Libyan Presidential Council Fayez Al-Sarraj and his delegation have signed a ceasefire agreement at indirect peace talks in Moscow on Monday, while Khalifa Haftar and his delegation agreed on it but pushed the signing till Tuesday morning, according to a press conference for Turkish and Russian Foreign Ministers following the talks.

During the talks that lasted about eight hours, mediators Russia and Turkey urged the Libyan rivals to sign a binding truce to end a nine-month-old war that was initiated by Haftar's forces.

"Today we can report that some progress was made," Sergey Lavrov told reporters at the 19th century Moscow mansion where the talks were held.

While Cavusoglu told reporters Haftar wanted to have until Tuesday morning to make up his mind.

Russia's TASS news agency reported that Al-Sarraj had refused to engage in direct talks with Haftar, forcing Russian and Turkish diplomats to act as go-betweens.

The Moscow talks come after a ceasefire, initiated by Turkey and Russia, saw a lull in heavy fighting and air strikes on Sunday.