The Palestinian president says there's "no way" he'll recognize Israel as a Jewish state and accept just a portion of Israeli-annexed east Jerusalem as the Palestinian capital.
Palestinians fear the two demands will be key elements of a US peace proposal.
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Mahmoud Abbas says in comments published Friday by the official WAFA news agency that he withstood US pressure when he sought UN recognition for a state of Palestine and suggested he could do so again.
US Secretary of State John Kerry is to present ideas for the contours of a deal to Abbas and Israeli Prime Minister Benjamin Netanyahu.
Gaps between the sides remain wide after seven months of Kerry's mediation, and a framework by an April 29 deadline appears elusive.