The United States has defended Israel's actions in Gaza and will very likely veto the resolution if it's put to a vote.
It also called on Israel to respect the basic human rights of Palestinians as well as worldwide law.
Earlier this week, Kuwait's UN Ambassador Mansour Otaibi said he would call for a multilateral force to be deployed in Gaza for the "protection of Palestinian civilians", though he added "we're not talking about peacekeeping".
Relations between Israel and New Zealand have been further strained with the Israeli embassy issuing a statement today criticising the New Zealand Government for its reaction to Israeli forces killing more than 50 protesters in Gaza this week.
The statement released by the Israeli embassy today said Israel had been acting in self-defence in compliance with worldwide law against an internationally recognised terror organisation, Hamas.
YWN reported Monday that Hamas chief Ismail Haniyeh and other top Hamas leaders traveled to Egypt where they received stern warnings not to instigate the protests. 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: 'I hear covfefe:' White House weighs in on Yanny vs. Laurel debate
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The draft expresses "grave concern at the escalation of violence and tensions and the deterioration of the situation" in Palestinian territory, including east Jerusalem, since March 30 - and at the loss of civilian lives and high casualties.
In addition, Mevlut Cavusoglu called on the UN General Assembly to adopt a resolution condemning the relocation of the American Embassy to Jerusalem, because the resolution in the security Council the USA will again be able to block.
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.
"Over the course of the next two days, I urge you all to reflect on how we can turn this vision into a reality", she said.
Israeli snipers opened fire from across the fence, killing 59 Palestinians and wounding 1,300.
U.S. Ambassador Nikki Haley, meanwhile, said Hamas had stirred the violence and Israel had acted shown "restraint".