"Those who are proposing 10 to 15 years (before a withdrawal) do not want to withdraw at all," Abbas said in an interview screened today at the annual conference of the Institute for National Security Studies (INSS) taking place in Tel Aviv.
"We say that in a reasonable time frame, no longer than three years, Israel can withdraw gradually," he said.
His remarks came as an April deadline loomed for faltering US-backed peace talks, which have been in deadlock notably over the issue of future security arrangements.
"We have no problem with there being a third party present after or during the withdrawal, to reassure Israel and to reassure us that the process will be completed," Abbas said.
"We think NATO is the appropriate party to undertake this mission.
"The Palestinian borders must, in the end, be held (controlled) by Palestinians and not by the Israeli army," he added.
Abbas reiterated Palestinian demands that a two-state solution be based on the lines which existed before the Israeli occupation of 1967, and stressed the importance of having annexed east Jerusalem as the Palestinian capital.
But Abbas expressed hope there would be progress before then.
"I hope we succeed so we don't have to resort to legal or diplomatic or political confrontation on the world stage," he said.
"A solution will bring Israel recognition from 57 Muslim countries, a clear, straightforward and diplomatic recognition between these countries and Israel," Abbas added.
He said he would happily meet Prime Minister Benjamin Netanyahu in person, during a visit by either man to each other's parliament.
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