He pointed out that a non-factional committee would govern the Strip for a six-month transitional period, followed by the Palestinian Authority assuming control as the legitimate authority.
Abdelatty said that a list of about 15 names from Gaza has been settled upon in this regard, all of whom are non-factional technocrats with no ties to Palestinian factions.
The Egyptian FM affirmed the need to implement the Arab plan for the early recovery and reconstruction of the Gaza Strip.
During the press conference, Abdeatty also reiterated Egypt's rejection of the resumption of Israeli military operations targeting civilians in Gaza, emphasising the importance of returning to the ceasefire agreement.
He also asserted that negotiations and commitment to the ceasefire agreement are the only means to ensure the release of all captives.
"We successfully secured the release of 35 captives in Gaza during the first phase of the ceasefire agreement," Abdelatty said, stressing the need to proceed to the second phase, provided there is sufficient political will.
He also highlighted Egypt's intensive diplomatic efforts in collaboration with Qatar and the US to restore the truce in Gaza.
The Egyptian FM underscored the importance of the shared international responsibility in securing financial commitments necessary for Gaza's reconstruction plan.
Abdelatty said the two sides also agreed on the importance of the EU's continued support for UNRWA's vital role in providing Palestinians with humanitarian aid.
Furthermore, he stressed the need for a political framework that provides hope for the Palestinians in establishing their independent state with East Jerusalem as its capital.
"We appreciate the EU's support for the legitimate rights of the Palestinian people," Abdelatty said during his press conference with the EU's top diplomat.
For her part, the EU top diplomat emphasised that Hamas should not play any role in the future government of Gaza, noting the Arab plan does not address this point.
She stressed the necessity of discussing the future structure of the Gaza government and the security arrangements.
Additionally, she expressed the EU's strong condemnation of the continuation of Israeli military operations, which have resulted in significant loss of life in Gaza.
During the press conference, Kallas commended Egypt's pivotal role in Gaza ceasefire negotiations and in preparing the Arab plan for Gaza's reconstruction.
"We are ready to contribute and provide aid packages to support Gaza's reconstruction efforts," she said.
The EU top diplomat also praised Cairo's efforts to support stability in the Middle East amidst growing security developments.
Kallas further stressed the EU's commitment to the two-state solution as the only path to achieve peace in the region.
In February, Hamas said it was ready to explore approaches for political and administrative arrangements in the Gaza Strip, without necessarily being part of them, to initiate a real reconstruction process for the Strip.
The Arab plan proposes a Gaza Administration Committee to manage the Strip's affairs during a six-month transitional period.
This committee will be independent, composed of technocrats and nonpartisan figures, and operate under the umbrella of the Palestinian government.
Its primary objective is to enable the complete return of the Palestinian Authority to the Gaza Strip and facilitate governance during the transition.