Indyk would travel to the region to oversee the meeting, the second three-way talks since last Thursday, said the official who requested anonymity.
There was no immediate confirmation from officials in Israel, which observes the seven-day Jewish holidays of Passover from sunset today.
Chief Palestinian negotiator Saeb Erakat met his Israeli counterpart Tzipi Livni and Prime Minister Benjamin Netanyahu's special envoy Yitzhak Molcho yesterday.
That meeting was "difficult" and there are still "big gaps" between the sides, the Palestinian official said.
The peace process suffered a new blow last week after Israel said it would freeze the transfer of duties it collects on behalf of the Palestinians in retaliation for their diplomatic offensive.
The monthly USD 111 million in taxes collected by Israel represents about two-thirds of the Palestinian Authority's income.
Israel also reportedly plans to suspend its participation with the Palestinians in developing a gas field off the Gaza Strip and to put a cap on Palestinian deposits in its banks.
They have since hit obstacle after obstacle and further deteriorated just weeks ahead of an April 29 deadline.
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