The White House added that the two leaders agreed on the urgent need to stop the escalation.
The White House added that the two leaders also discussed progress being made in re-opening the United States and France, as well as global economies that have been affected by public isolation measures due to the Coronavirus pandemic.
Trump said he was looking to host the leaders of the major industrial nations of G7 at a meeting soon.
The Head of the UN delegation to Libya, Stephanie Williams, said on Tuesday that the reconciliation government had not complied with the declared cease-fire, and called for adherence to the arms embargo resolutions to Libya.
The Libyan National Army, led by Field Marshal Khalifa Haftar, said that the Tripoli militias, affiliated with the government of Fayez al-Sarraj and the Turkish mercenaries, had targeted the city of Tarhuna, west of the country with Grad rockets.
A statement of the media center of the Karama Operations Room indicated, on Wednesday, that one of the rockets landed in Salah El-Din Elementary School, and no human damage was caused by the rocket fire.
The statement pointed out that the Tripoli militias which are affiliated with the government of Fayez al-Sarraj and the Turkish mercenaries launched an attack early Wednesday on Al-Asaba region in the western mountain, but the Libyan armed forces and air force thwarted this attack.
Brigadier Khaled Al Mahjoub, Director of the Moral Guidance Department in the Libyan National Army, said that the air force managed to deliver precise strikes against pro-Turkish militias on the outskirts of Gharyan, 70 km south of Tripoli.
He added that the air strikes left dozens of dead in the militia ranks, including the leader of the Gharyan militia, Mahmoud al-Ghazari, in addition to destroying more than 20 military vehicles.
These developments come at a time when the Libyan National Army announced, on Wednesday night, a unilateral ceasefire to avoid bloodshed at the end of the month of Ramadan and give an opportunity for citizens to prepare for Eid al-Fitr.
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