Ms Rice is in the region to prepare the ground for a planned peace conference in the
She will later hold a news conference with
On Monday, Ms Rice will travel to the
Ms Livni insisted that progress could be made once the Palestinians agreed to implement their obligations under a long-stalled US-backed "road map" for peace.
"The meaning is security for
Mr Abbas's Fatah group remains in control of the
'Knotty discussions'
Ms Rice is on her eighth visit to the region this year, hoping to inject life into the Israeli-Palestinian peace process. But expectations of her visit and the
The Palestinians want a clear timetable for resolving some of the most sensitive issues in the conflict, including the status of
The two sides have been holding an intensive round of bilateral talks but Ms Rice admitted her aim for now was just to encourage Israelis and Palestinians to keep trying.
"I don't expect to reach an agreement on a document," she told reporters on the plane to Tel Aviv on Saturday evening.
"They are going through some knotty discussions and I think those knotty discussions are going to continue for a while... I just want to help make sure that they are working in a straight line ahead."
PHOTO CAPTION
Palestinian Authority President Mahmoud Abbas