Palestinian officials said EU Middle East peace envoy Miguel Moratinos would visit the militants in the Flamingo Beach hotel on Saturday.
Former Liberal Democrat leader Sir Paddy Ashdown could be heading for a new role as the United Nations peace envoy in Bosnia.
Meantime, Obama has named a new Middle East Peace envoy, former Sen.
Mr Blair now works as a UN Middle East peace envoy.
BBC: Tony Blair: I'd have done better than Brown in 2010 election
Former prime minister Tony Blair, who is now a Middle East peace envoy, was commended for "making an important contribution to Palestinian economic and institutional development".
In a separate development on Sunday, UN-Arab League peace envoy Lakhdar Brahimi called for international backing for a Syrian opposition offer to negotiate with some government officials.
BBC: Israel treats wounded seven Syrians as "exceptional" case
Israeli and Palestinian security officials agreed a few days earlier to try to work out a truce before US peace envoy Anthony Zinni returns to the region, on or around 18 January.
He himself was injured in 2011, when the man in charge of peace talks - the former Afghan President Burhanuddin Rabbani - was killed by a suicide bomber disguised as a Taliban peace envoy.
BBC: Afghanistan eyes Taliban peace ahead of Nato withdrawal
The visit, which came a day after former British Prime Minister Tony Blair made his first trip as new Mideast peace envoy, is part of a flurry of diplomatic efforts meant to restart peace talks after a seven-year lull.
Their peace envoy, a former marine commander, Anthony Zinni, has been told to stay in the region and keep at his thankless mission of trying to arrange a ceasefire between Israel and an authority on which Israel has ostensibly declared all-out war.
The Libyan leader also sent an envoy to the peace talks on Sierra Leone in Togo.
ECONOMIST: Qaddafi says farewell, Arabia, and sets his sights on Africa | The
And he named another envoy to seek peace between the Israelis and the Palestinians: George Mitchell, a former Senate majority leader who helped broker peace in Northern Ireland.
The Obama administration said Syria had reached a "critical juncture" and again urged President Bashar al-Assad to uphold its commitment to the six-point peace plan brokered by special envoy Kofi Annan.
Robinson should start negotiations that would subsume the Kampala talks, and the Obama administration should follow the U.N. lead in appointing a senior-level envoy to the peace process and ensure that regional economic integration and security issues are brought to the fore of the process.
And I want to start by recognizing my Special Envoy for Middle East Peace, George Mitchell, who is here.
Secretary General Kofi Annan as the special envoy to broker the peace deal.
Russian special envoy Viktor Chernomyrdin and Finnish President Martti Ahtisaari, the European Union's envoy, presented the peace plan to Yugoslav President Slobodan Milosevic during talks in Belgrade on Wednesday and Thursday.
We expect that at some point, I would say in the next hour or so, Senator Mitchell, our special envoy for Middle East peace, will conduct a briefing on what has transpired today.
The meeting was chaired by Lt-Gen Lazarus Sumbeiywo, the special envoy of the IGAD peace process in Sudan with assistance of the IGAD sub-committee's envoys, namely His Excellency Muhammad Umaro of Eritrea, HE Murad Musa of Ethiopia, HE Francis Butagaria of Uganda, observers from Italy, the United Kingdom, Norway and the United States of America.
Washington is supporting U.N. and Arab League envoy Kofi Annan's peace initiative, which calls for a cease-fire and a political solution.
CNN: Military options for Syria considered if crisis worsens
In Amman, Jordan, King Abdullah II voiced his skepticism about the U.S. peace conference in a meeting with Mideast envoy Tony Blair.
He repeated China's call for the "practical implementation" of former UN envoy Kofi Annan's peace plan - now widely considered defunct - and for "an immediate ceasefire".
"Syria is apparently experiencing a rare moment of calm on the ground, " said Kofi Annan, the special envoy who brokered Syria's peace plan.
Afterward, the two leaders issued a statement calling for "an immediate cessation of all violence" and expressing support for efforts by U.N. and Arab League joint special envoy Kofi Annan to broker a peace deal.
"As an envoy, I can't want peace more than the protagonists, more than the Security Council or the international community for that matter, " Mr. Annan said Thursday in Geneva.
To this end, in his policy speech at Bar-Ilan University's Begin-Sadat Center on Sunday, Netanyahu should announce that in the interests of fostering cooperation with the US and advancing prospects for peace, he is appointing a special prime ministerial envoy to Obama's special presidential envoy Mitchell.
These issues will be at the heart of a High Level Debate on the Culture of Peace and Non Violence organized by UNESCO, in the presence of the UN Secretary-General, UNESCO Special Envoy for Basic and Higher Education Her Highness Sheikha Moza Bint Nasser and prominent intellectuals and peace advocates, including Wole Soyinka, Elie Wiesel and Forrest Whittaker.
Peace efforts move to Cairo shortly, with an Israeli envoy due in the city.
The mission's job is to monitor U.N. and Arab League joint special envoy Kofi Annan's six-point peace plan that never got off the ground.
It has authorized up to 300 monitors in Syria to monitor a cease-fire and the six-point peace plan of U.N. and Arab League envoy Kofi Annan.
CNN: U.N. notes cease-fire violations from both sides in Syria
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