Representatives of the Quartet were meeting in Jerusalem Monday afternoon with Prime Minister Binyamin Netanyahu's envoy, Yitzhak Molcho.
Quartet members arrive in Israel Monday with little hope of bridging the gulf that divides the Israeli and the Palestinian leadership and has prevented the resumption of negotiations.
In Ramallah on Sunday, PA President Mahmoud Abbas told US envoy David Hale that the Palestinians would not hold direct talks with Israel unless it froze West Bank settlement activity and stopped construction in east Jerusalem Jewish neighborhoods.
Tovah Lazaroff and Khaled Abu Toameh contributed to this report
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