"We are not giving up on a country with a Jewish majority and a border between us and them", she said on Twitter.
Since then, Israeli forces have killed 12 Palestinians.
While Trump said at the time that the Jerusalem decision would have no impact on the final status of the contested city, he later tweeted that it had been taken "off the table" for negotiations, from which he accused the Palestinians of walking away.
The two Islamic groups are in fact not part of the Palestinian (National) Authority or the PLO, as they have been violently opposing the peace process and the Oslo peace accords signed between Israel and the PLO in 1993.
Abbas has said that by siding with the Israelis on a sensitive issue, the announcement had destroyed Trump's credibility as a Mideast peace broker.
The plan to withhold some of the money is backed by Secretary of State Rex Tillerson and Defence Secretary James Mattis, who offered it as a compromise to demands for more drastic measures by UN Ambassador Nikki Haley, the officials said.
Yitzhak Herzog, the Israeli Labour leader, recently warned that Jordanian-Israeli bilateral relations have reached an all-time low over not only the row over the killing of two Jordanians at the Israeli embassy last July at the hands of an Israeli security guard but also over the recent disturbing and ominous developments on Jerusalem in the wake of US President Donald Trump's decisions to recognise the holy city as the capital of Israel and relocate the US embassy from Tel Aviv to Jerusalem. "To there we have to advance, with or without the Palestinians". Haley last month said she would be "taking names" of countries that voted for a United Nations resolution that criticized the recognition of Jerusalem, as Trump threatened aid cuts to those that did.
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"We will not accept anything the United States may try to impose on us and we will not accept its mediation following that crime", said Abbas, referring to Trump's Jerusalem decision.
There is some skepticism that the Palestinians will go as far as rescinding recognition of Israel.
Palestinian sources said the council will also discuss the internal Palestinian reconciliation between Hamas and President Mahmoud Abbas' Fatah Party, as well as Palestinian strategies toward US and Israel policies over Jerusalem.
Palestine's official WAFA news agency reported that the Committee convened in Ramallah ahead of a central council meeting of the PLO on Sunday.
US officials have not confirmed the claims.
The UN agency, founded in 1949 to aid Palestinian refugees, provides educational and health services in the Gaza Strip and the West Bank.
He pledged to continue payments to families of those imprisoned, killed or wounded by Israel, including those who carry out attacks.