Trump expressed his desire to have Palestinians and Israelis draw on the Oslo Accords that Abbas signed as the Palestinian negotiator in 1993 and said he hoped the Palestinian leader would soon sign "the final and most important peace agreement".
"It is a great honor to have the president with us", Trump said after taking Abbas into the Oval Office.
Republican U.S. Sens. Marco Rubio (Fla.), Lindsey Graham (S.C.) and Tom Cotton (Ark.) similarly insisted that Trump "raise this matter with President Abbas during his visit" and to "make clear to him that this practice [of paying terrorists] must end".
Trump struck an optimistic note Wednesday, saying he believes an Israeli-Palestinian deal can be reached.
Mr Abbas said that "what is needed is to bring the two parties together" and that he was ready to meet Mr Netanyahu.
President Donald Trump is expressing optimism for resumed peace talks between the Palestinians and Israel.
Despite his pro-Israeli campaign trail rhetoric, since entering the White House Mr Trump has caught some Israeli hard-liners off guard with the suggestion the Netanyahu coalition government should "hold back" on settlement building, and his administration has equivocated over whether the USA embassy will move from Tel Aviv to Jerusalem as promised.
"It is like asking Israel to stop paying its soldiers", he added. The two leaders discussed the importance of the United States-Palestinian partnership in building and sustaining the capacity of Palestinian security forces to counter terrorism, maintaining peace and security for the Palestinians, and continuing strong coordination with the Israeli government to benefit both peoples. He has done so after meeting with Israel Prime Minister Benjamin Netanyahu, Egyptian President Abdel-Fattah al-Sissi, and King Abdullah II of Jordan, according to Hareetz.
"So far, we didn't talk about a mechanism, but the contacts between us and the Americans began and will continue", he said.
The tweet did contain a grammatical error, with the word "of" being left out of the second sentence, but unlike past Trump tweets with grammatical errors, the tweet about President Abbas has not been corrected and reposted.
A caricature in the daily depicts Abbas, dressed in his underwear, begging to a Donald Trump dressed as the Statue of Liberty.
He said Mr Abbas's comments that Palestinians are cultivating a culture of peace "are unfortunately not true", pointing to Palestinian schools named after militants who killed Israelis. This is something Israel is always ready for.
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