Israel says it would welcome the United States as a mediator but a US bid to revive negotiations, led by Us President Trump's adviser and son-in-law, Jared Kushner, has so far shown no progress.
The statement omitted any reference to Israeli settlement activity – a rarity for the Quartet.
Allegations of a conflict of interest between Blair’s role as Quartet envoy and the business interests of his private consultancy firm have dogged him intermittently over the last number of years.
The Mideast Quartet envoys also condemned the attack.
For different reasons, each of the four Quartet members is unqualified to negotiate an Israeli-Palestinian agreement.
“The real settlements Palestinians are after are Haifa, Jaffa and Tel Aviv,” Netanyahu declared.
The Quartet Report of July 2016 is very different and much more modest than the Roadmap published by the Quartet in 2003.
Abbas not only welcomed each and every one of the bloodthirsty stabbing, car-ramming, firebomb-hurling assaults on innocent Israelis; he encouraged and rewarded them.
Senior PA official told al-Hayat newspaper: "the US is dominating the Quartet and that the recent report has American fingerprints all over it."
The report said that “reuniting the Palestinians under a single, democratic and legitimate Palestinian authority on the basis of the PLO platform and Quartet principles remains a priority.