Peace talks between Israelis and Palestinians are at a standstill and have been for almost two years. The stated aim of those negotiations is what is known as the "two-state solution," which means the establishment of a viable, independent Palestinian state existing in peace alongside Israel.

But as hopes for an agreement diminish, Palestinians — and even some Israelis — are now talking about other solutions to the conflict. Among them, the so-called "one-state solution."

Former Palestinian Prime Minister Ahmed Qurei has been a point person in some of the most important negotiations on the Israeli-Palestinian conflict.

"We deal since Madrid with eight Israeli prime ministers," he says, referring to the 1991 Madrid Conference to start a peace process involving Israel, the Palestinians and Arab states.