After talks in Egypt, Israel is presenting a new proposal to Hamas to end the fighting in Gaza.
The biggest disagreements are about who controls important passages like Rafah and Philadelphi, which Israel considers important for its security.
Hamas has also requested the release of prisoners, but there has been some progress on the Rafah crossing and a potential agreement on the Philadelphi Corridor.
Negotiations are expected to continue on Sunday, with the goal of bringing Hamas representatives directly into the discussions.
