The report adds that Hamas leaders were warned that Egypt considers the blood of Palestinians killed in Gaza "on their hands".
Kuwaiti ambassador Mansour al-Otaibi circulated the draft which called for the establishment of an global force stationed on the Gaza border with Israel.
On Friday, some 15,000 Palestinian protesters started fires on the Palestinian side of the crossing, damaging gas pipelines leading to the enclave, the IDF said.
Palestinian officials call it a massacre of protesters demonstrating against a decade-long blockade; Israel says it was defending its border against a militant-fueled mob. Israeli ambassador to the United Nations in Geneva, Aviva Raz Shechter, meanwhile slammed the special session on Friday, saying it was "politically motivated and won't improve the situation on the ground by even one iota".More news: Women's Tennis, Beach Volleyball Earn NCAA Public Recognition Awards
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He also took aim at the U.S. for shifting its embassy to Jerusalem from Tel Aviv, terming it violation of global law contravention of the UN Charter's prohibition of the forcible acquisition of territory.
Turkish Foreign Minister Mevlut Cavusoglu gestures during a news conference in Ankara, Turkey April 16, 2018.
To suggest that the violence had anything to do with the relocation of the United States embassy was a smoke screen, she said.
The 1948 Palestine war refers to the war that occurred in the former Mandatory Palestine during the period between the United Nations vote on the partition plan on November 30, 1947, and the official end of the first Arab-Israeli war on July 20, 1949. Capping weeks of protests, about 40,000 Gaza residents descended on the border area Monday. But Zeid insisted that many of those injured and killed on Monday "were completely unarmed, (and) were shot in the back, in the chest, in the head and limbs with live ammunition", he said, saying there was "little evidence of any (Israeli) attempt to minimise casualties". Several council members called for an independent investigation and urged Israel to use force proportionally, while also admonishing Hamas to avoid provocation. It said there had been 40,000 and that half of them were affiliated to Hamas. In addition, a senior member of the terrorist group, Salah al-Bardawil, confirmed in an interview on Wednesday that at least 50 of them were Hamas members.