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September 26th, is the deadline for Israel's self-declared 10-month settlement freeze. If by that date direct peace talks between Israel and the Palestinian Authority aren't in place, there's fear, that talks will collapse and violence could occur.
Egyptian President Hosni Mubarak and visiting Palestinian counterpart Mahmoud Abbas discussed the Middle East peace process in the capital city of Cairo on Sunday.
The summit talks took up efforts to promote peace between the Palestinians and Israel. This means to reach a settlement for the Israeli-Palestinian conflict according to the two-state solution.
Also the same day, Mubarak held a meeting with Israeli Prime Minister Benjamin Netanyahu.
The two leaders discussed the possibility of starting direct negotiations between Israel the Palestinian Authority.
This is not the only international effort to push forward the resumption of direct peace talks between the two sides.
On the weekend, Washington's Middle East envoy George Mitchell met separately with Abbas and Netanyahu.
George Mitchell, US Middle East Envoy, said, "We look forward to continuing our discussions in the near future, in our effort to realize the vision that President Obama set forth of comprehensive peace in the Middle East, which must begin with an agreement between Israel and Palestine."
Meanwhile, direct talks between Israel and the Palestinians are being urged by the European Union's foreign affairs chief.
Catherine Ashton, European Union's foreign policy chief, said, "It's needed if we want to make further progress in the negotiations that can bring this conflict to an end. I have and I will therefore encourage both the Palestinian Authority and Israel to begin substantive discussions on all the final status issues."
Palestinian President Abbas claims he will resume direct peace talks if Israel accepts its 1967 frontier as a baseline for the border of a Palestinian state. He also wants the deployment of an international force to guard them.
However, it seems unlikely Israeli Prime Minister Benjamin Netanyahu would meet the demands.
Netanyahu refuses to be pinned down on a framework for negotiations, insisting on talks without conditions.