"I call on the Palestinian people to intensify their peaceful demonstrations in the streets against the Israeli aggression in Gaza," he said at a meeting with the Palestinian leadership.
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Abbas also called on Palestinians to unite and urged Arab leaders to convene an urgent summit to discuss "the continued Israeli aggression in Gaza."
He remarked that he asked Palestinian Foreign Minister Riyad al-Maliki to ask the Arab League secretary-general to convene an urgent summit on the matter.
Abbas and Fabius in Ramallah (Photo: AFP)
"We are making every effort to stop the aggression and to prevent our people in Gaza to experience further destruction, bloodshed and suffering," he said.
The Palestinian president stressed he has no intention of withdrawing his UN status upgrade bid, despite the events in Gaza.
Earlier, Abbas met French Foreign Minister Laurent Fabius in Ramallah, who is in the region to try and bring about a ceasefire.
Meanwhile, Hamas' deputy politburo chief Mousa Abu Marzook told Egyptian newspaper al-Masry al-Youm that talks of a ceasefire have yet to produce an agreement.
Hamas, he said, has raised its demands but expressed willingness to stop the fire if the IDF meets all of its terms.
Abu Marzook said that a lull can be reached with the help with Egypt, Qatar and Turkey.
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