The Palestinians are furious at US President Donald Trump's announcement in December recognizing Jerusalem as Israel's capital and accuse Washington of being biased towards the Jewish state.
The United States is a leading member of the Quartet and the Security Council, signaling Abbas was again ready to defer to US leadership on the peace process. The Palestinians want the eastern part of the city as the capital of a future independent state of their own that would include the West Bank and Gaza.
Last month demonstrators disrupted a meeting between USA diplomats and the chamber of commerce in the Palestinian city of Bethlehem.
Without integrating the leaders of the Arab states he just met in Riyadh into a new framework for Israeli-Palestinian negotiations, President Trump is unlikely to achieve the peace he seeks.
"It has become impossible today for one country or state alone to solve a regional or worldwide conflict", Abbas said. He called for an worldwide conference to be held by mid-2018 to kick-start the stalled peace process with Israel. The move led the Palestinian leadership to reject the role of the United States as an honest broker in negotiations with Israel. "It is essential to establish a multilateral worldwide mechanism emanating from an global conference". There is the path of absolutist demands, hateful rhetoric, and incitement to violence.
Though Kushner and Greenblatt didn't meet Abbas, they did meet informally behind closed doors with Security Council members.
"You are part of the problem, not the solution", Danon said, addressing Abbas. "The choice, Mr. President, is yours", said Haley, referring to Trump's son-in-law and adviser, Jared Kushner, and US Middle East envoy Jason Greenblatt.
Haley disagreed, saying the Trump administration was offering "an outstretched hand" to the Palestinian people and their leaders.
The PA has been under pressure in the aftermath of the U.S. decision to relocate its embassy from Tel Aviv to Jerusalem, after facing criticism from Palestinians and rival factions such as Hamas for engaging in negotiations with Israel during the past 25 years. But he said council members "haven't received any details" of the USA proposal for Palestinian-Israeli peace.
The heated session appeared to reinforce intractable divisions between the two sides with Palestinian leader Mahmoud Abbas accusing Israel of acting like "a state above the law", while calling for an worldwide peace conference under the sponsorship of the United Nations (UN), not the US.