The meeting reportedly ended without agreement, but Hamas was expected to submit a new draft programme before talks continued on Tuesday.
Hamas proposals have been rejected by the long-dominant Fatah Party, which lost January’s parliamentary elections.
A deal with Hamas might jeopardise Fatah’s relationship with Washington.
The head of the Hamas parliamentary group, Mahmoud Zahhar, hosted the talks at his home in Gaza City, where he was joined by Fatah official Majid Abu Shammaleh.
