She said that a cease fire isn't a condition for Abbas to send his negotiators back to talk.
Abbas says he won't return to negotiations without an Israeli construction freeze, arguing that Israel's building on war-won land pre-empts the outcome of talks on a border between Israel and a future state of Palestine.
It wasn't clear how the move would affect Mr. Abbas's international standing.
"We were very confident that we hadn't tampered with the ball, " team manager Zaheer Abbas told the BBC Asian Network.
As we saw at the Fatah conclave in Bethlehem last week, even if Fatah leader Mahmoud Abbas were to accept Netanyahu's conditions, he wouldn't be speaking for anyone but himself.
Mr. Abbas has threatened to walk out of the talks if Israel doesn't extend its building freeze.
Yasser Abed-Rabbo, an aide Abbas, said before the meeting that the Palestinians will tell Obama they won't return to negotiations with Israel without a settlement freeze.
So most Israeli officials that I've spoken to say that Olmert is serious about opening a dialogue with Abbas, but without a change in the Hamas position those negotiations really aren't going to get anywhere.
Abbas insists he's going to move ahead, Steve, but it doesn't appear - it's not really clear how he'll do that.
But with Obama requiring a freeze of all such construction, Abbas made clear in an interview with The Washington Post in May that he couldn't talk to Prime Minister Binyamin Netanyahu without looking like a sellout.
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