Some countries, notably France, are understood to be keen to give Abbas something concrete to take away, but others are more cautious.
Vice President Mike Pence says reports that an adult film star had an alleged affair with President Donald Trump are "baseless allegations."Pence spoke to The Associated Press during a visit to Jerusalem on Monday".
Symmetrically, in Brussels, Abbas has chosen to ask Europe's foreign ministers to recognize Palestine as a state.
Owing to Trump's decision, Rivlin said Israel "must move from being on the defensive to taking the initiative, and clearly call on the nations of the world to stop boycotting Jerusalem as the capital of Israel".
A group of Arab lawmakers voiced their displeasure at the administration's perceived pro-Israel bias by raising banners reading "Jerusalem is the capital of Palestine" and heckling Pence at the beginning of his address, before being forcibly removed from the plenum. Netanyahu did not applaud this statement, though he continually applauded other statements by the vice president.
"The messianic discourse of Pence is a gift to extremists and has proven that the USA administration is part of the problem rather than the solution", he said.
Abbas and other Palestinian leaders refused to meet Pence, making his visit a rare one by a high-ranking USA official not to include talks with the Palestinians. The Israeli leader also praised the alliance between the two countries, which in his words "has never been stronger".
Earlier Monday, Pence was given a ceremonial welcome in a tent outside Netanyahu's office, with an honour guard and military band.
Pence had earlier expressed his honor at being in "Israel's capital", in a move that continued Washington's break with decades of policy toward the conflict.
That disconnect is highlighted in the divergent attitude toward the Jerusalem decision, which Pence hailed today as if he were announcing a great deliverance. Ms Mogherini restated the EU's support for the two-state solution with Jerusalem as a shared capital and opposition to Israeli settlement building.
On Tuesday, Pence will visit Yad Vashem, Israel's official memorial to victims of the Holocaust, and the Western Wall in the fabled Old City, home to holy sites for Jews, Muslims and Christians. But all US presidents before Trump have resisted acting on the law, signing a waiver in the national interest.US Vice President Mike Pence, center left, with Israeli Prime Minister Benjamin Netanyahu, center right, at a welcome ceremony in Jerusalem on Monday.
After Trump formally recognized Jerusalem as Israel's capital in December, the State Department began looking for a possible site on which to build an embassy to replace the existing one in Tel Aviv.
However, Palestinians want East Jerusalem to be the capital of their future state, which Israel captured and annexed in 1967.
Spanish Foreign Minister Alfonso Dastis said he was open to starting discussions on a possible agreement, but warned Abbas must tone down his rhetoric, following his outburst against the US.
The U.S. decision on Jerusalem sparked ongoing Palestinian protests, some of which turned deadly. One Israeli has been killed in that time.
Palestine Liberation Organization Secretary General Saeb Erekat described Pence's speech as "a gift to extremists", saying on Twitter it had shown the US administration to be "part of the problem rather than the solution". "Peace can only come through dialogue".
Mr Pence told Israel's parliament, the Knesset, that Israel "can be confident" the U.S. will never compromise Israel's security.
He has however pushed for an internationally led process.
Pence had a message for the people of Iran.
Pence dedicated part of his speech to Iran, saying the United States "will never allow" it to acquire a nuclear weapon.
Secretary-General of the Executive Committee of the Palestine Liberation Organization (PLO) and chief negotiator, Saeb Erekat, has revealed details of the U.S. peace plan to resolve the conflict between Israel and the Palestinians.