A statement by the media office of the Rafah border crossing reported the departure of the Hamas delegation, without giving further details.
The delegation includes Khalil al-Hayya, Hamas deputy leader in Gaza, and other leading members, a Palestinian source close to Hamas said.
In mid-August, Palestinian factions met with Egyptian officials in Cairo to discuss proposals for Hamas-Fatah reconciliation, a ceasefire with Israel, and the implementation of humanitarian projects in Gaza.
Last October, Hamas and Fatah signed a reconciliation agreement in Cairo that would -- if implemented -- allow the Ramallah-based Palestinian government to administer Gaza, which has been run by Hamas since 2007.
The agreement, however, has yet to come into effect due to a host of deep-seated differences -- some of them ideological -- between the two rival factions.