Indirect talks between Israeli and Palestinian representatives are taking place in Cairo, the Egyptian capital.
They come after a four-week conflict in Gaza that has claimed more than 1,900 lives since the conflict began on 8 July, reports BBC.
Relaying each side's demands, Egyptian mediators are shuttling between the two delegations, the report said.
A 72-hour truce is now in its second day in Gaza.
Meanwhile, hundreds of thousands of displaced Gazans have been returning to their homes but many people have found nothing left.
US Secretary of State John Kerry has urged both sides to use the ceasefire to move towards broader negotiations.
The situation could "concentrate people's minds" on the need to negotiate a two-state solution, Kerry told BBC.
