Mr. MARK REGEV (Israeli Government Spokesman): Unequivocally there are no direct or indirect talks with Hamas.
President Bush, for his part, is openly disgusted with Hamas and its US-based supporters.
The Quartet says it will not engage with Hamas unless, among other things, it recognises Israel.
Giora Eiland, a former national security advisor, describes what a ceasefire deal with Hamas might look like.
With Hamas's centre of gravity shifting back to Gaza via Cairo, Mr Haniyeh may be eyeing Mr Meshal's job.
Israel has no diplomatic relations with Hamas, which it deems a terrorist group.
The Muslim Brotherhood government in Egypt may stumble in 2013 as a diplomatic partner in resolving hostilities with Hamas.
Mofaz's plan is to recognize and seek to negotiate a settlement with Hamas.
Abbas has also taken recent steps toward repairing the political split with Hamas.
Israeli newspapers, busy covering the conflict with Hamas, have barely mentioned the attacks.
The Israeli prime minister has said Palestinian President Mahmoud Abbas must choose between peace with Israel and peace with Hamas.
And yet there are some in Israel who say it's time for talks with Hamas, as NPR's Linda Gradstein reports.
The initial Arab reaction to the speech was negative, with Hamas saying Netanyahu was seeking to deny Palestinians their rights.
Mr Abbas says he hopes a ceasefire agreement can soon be reached with Hamas, one of the main militant groups.
Bolivia and Venezuela cut their diplomatic ties with Israel in January 2009 after siding with Hamas in Operation Cast Lead.
Then too, in his press conference with Bush, Abbas restated his hope of renewing negotiations with Hamas over control of Gaza.
However, the UN, along with most of the Western world, does not deal directly with Hamas, which controls the Gaza Strip.
But Abbas' idea of a profile in courage has been to pledge to live in peace with Hamas, on its terms.
Last week, Mr Mursi held talks with Hamas's political leader, Khaled Meshaal, and Palestinian Authority President Mahmoud Abbas, who heads Fatah.
BBC: Egypt's president discusses Gaza blockade with Hamas PM
In rallies at Mr Abbas's West Bank headquarters, the yellow flags of his Fatah group are increasingly speckled with Hamas's green.
Earlier this month, Abbas called for "national unity" talks with Hamas with the goal of producing new elections for the Palestinians.
Prime Minister Binyamin Netanyahu's response to the Fatah-led Palestinian Authority's peace deal with Hamas would be funny if it weren't tragic.
Olmert is also allowing the Egyptians to broker a cease-fire with Hamas.
This is why he now needs outside help in dealing with Hamas.
In 1994, Mr. Arafat put him in charge of coordinating with Hamas.
But by agreeing to deal with Hamas through Egyptian mediators, Israel could be acknowledging that its complete exclusion of Hamas was not working.
He also indirectly criticises Israel for avoiding peace talks not just with Hamas, but with past leaders who did recognise Israel's right to exist.
Both Israel and the US have said they will not deal with Hamas, and have until now opposed a unilateral declaration of Palestinian statehood.
As tension between Iran and the United States rises again, Israel may feel more comfortable with Hamas inside Egypt's tent rather than in Iran's.
The Obama campaign distanced itself from Malley in May after the Times of London reported that he was meeting regularly with Hamas terror leaders.
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