The delegation is led, according to The Jerusalem Post, by Khalil al-Hayya, formally acting leader of the Palestinian movement's political bureau, which is labeled as a terrorist organization.
The Egyptian proposal for a ceasefire currently on the table involves Hamas releasing nine living hostages and three dead bodies.
In return, a 70-day-long ceasefire in the Gaza Strip will be initiated, during which negotiations about the next phase of the agreement will be held.
Israel submitted its latest response to the proposal late on Thursday, reports the Israeli media company Walla.
On Saturday afternoon, Hamas' armed wing, the al-Qassam brigades, released a propaganda video showing the Israeli soldier Edan Alexander, who also holds American citizenship, alive.
In the video, Alexander, who was kidnapped on October 7, 2023, sits in a cramped space and criticizes the Israeli government for not having secured his release.
The clip is not dated, but Alexander claims to have been held captive for 551 days, which indicates that it was filmed very recently, reports The Times of Israel.