During these protests, dozens of Palestinians have been killed and thousands others wounded as Israeli forces continue to suppress the demonstrations.
The Hamas leadership conveyed a message to Israel's Defense Forces following Monday's clashes at the Gaza border, offering to reduce the numbers of protesters in return for fewer Israeli air strikes on Hamas positions in the enclave, local media reported on Wednesday.
The surge in fatalities led South Africa to recall its ambassador in Israel "with immediate effect until further notice" while condemning the deaths "in the strongest terms possible".
At the same time, Hamas, which has controlled Gaza for more than a decade, must not use the protests as cover to attempt to place bombs at the border fence and create provocations, he said, adding that Hamas operatives must not hide among the demonstrators and risk the lives of civilians.
While French envoy Francois Delattre said that "the situation in the Middle East is close to a flawless storm", his British counterpart Karen Pierce called for an independent investigation into Monday's violence.
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Faki said the relocation of the USA embassy will only heighten tensions in the region and complicate the search for a lasting solution to the Israeli-Palestinian conflict, as illustrated by Monday's clashes.
During the UN Security Council's emergency meeting, most ambassadors expressed concern over the use of force by Israel which Swedish envoy to the UN Olof Skoog said should be exercised with restraint, a stance that was supported by his colleagues from China and the Netherlands. Its new Embassy that opened in Jerusalem just yesterday. Some also strongly criticised U.S. policy and said Trump's visit to Britain in July should be cancelled.
Government spokesman Bekir Bozdag told parliament on Tuesday that Turkey held the United States equally accountable for Monday's violence.
The United Nations is working with Israel and the Palestinian National Authority to bring in life-saving assistance despite the destruction and extensive damage to the crossing, he said.