Hamas says it has accepted an Egyptian proposal to end the dispute with Fatah.
Hamas leader Ismail Haniyeh made a brief visit on Sunday to Egypt.
Under an agreement signed by Hamas and Fatah in Cairo in mid-October, the PA is supposed to take full responsibility for Gaza by Friday.
From military budget overhauls to shifts in tunnel operations, Hamas leader Yayha Sinwar is shaking up Gaza.
Hamas is thought to be holding the bodies of two soliders — Hadar Goldin and Oron Shaul — as well as three Israeli civilians — Hisham al-Sayed, Avera Mengistu and Juma Ibrahim Abu Ghanima.
The statement was released following a meeting led by Haniyeh and the Egyptian Intelligence chief.
The explosion killed one Hamas member and left a number of Hamas operatives wounded.
Hamas remains the same Hamas, and its goals remain the same goals. The only thing that’s changed is Hamas’s tactics.
Since the first Hamas delegation’s visit to Cairo, Egypt has sent a number of diesel fuel shipments to Gaza to alleviate the electricity crisis there.
Egypt had insisted for years that the Rafah crossing - which it opens for a three-to-five day period about once every 40 days - would handle the passage of only people, not goods.