The Egyptian state media company Al-Qahera reports that the talks will continue on Tuesday, also between Hamas and the mediators, in the Egyptian city of Sharm el-Sheikh, where an Israeli delegation has been since Monday.
Delegations for Israel and Hamas have initiated indirect negotiations about peace in Gaza.
Last week, the President of the USA, Donald Trump, presented a peace plan which Israel's Prime Minister Benjamin Netanyahu announced that the country stands behind.
Trump said on Monday evening, Swedish time, that Hamas has agreed to things that are "very important".