In a statement issued on Sunday, Hamas said it has accepted key conditions set by President Mahmoud Abbas, and would dissolve what is known as the Gaza administrative committee, a body seen as a parallel government to Abbas' Palestinian Authority.
Palestine's Hamas group has agreed to talks with the rival Fatah movement to form a unity government and hold general elections.
The movement, which has been ruling the Gaza Strip since it seized the control of the Palestinian area in 2007, said it is ready to meet again in Cairo with Abbas' Fatah movement and other factions on the formation on a unity government.
It also was not immediate clear how Egypt's latest effort aligns with its previous tacit support for a separate Gaza power-sharing deal between Hamas and Mohammed Dahlan, an exiled former Abbas aide-turned-rival.
Hamas controls the Gaza Strip, a densely populated coastal territory that shares borders with Egypt and Israel, with which it has fought three wars since 2008.
Egypt has been brokering talks with Fatah to implement a deal signed in 2011 in Cairo with Hamas to end their dispute and form an interim government before elections. There also was no comment from Abbas' government.
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Representatives for Abbas, who is in NY ahead of the UN General Assembly this week, could not be reached for comment, nor could Fatah representatives presently in Egypt, which has been hosting talks with Hamas.
The statement added that this comes in order to achieve the hope of the Palestinian people, to achieve national unity, and indicated Hamas' for the general elections.
Hamas formed the committee in March, and since then Abbas has sought to put further pressure on the Islamist movement, reducing electricity payments for the Gaza Strip among other measures.
In July this year it emerged Gaza's Hamas movement was seeking a rapprochement with the Palestinian leader once regarded as its greatest enemy, as the Islamist group faces unprecedented challenges from all sides.
Those reasons, coupled with an escalating sewage crisis that threatens the health of Gaza Strip residents and has ruined the Strip's beaches is contaminating the strip's beaches, and a crippling unemployment, have all contributed Hamas finally, maybe, crying Uncle.