Damascus is seeking an arms deal with Moscow, a move that would bolster its position in the Middle East.
Ms. Rice concludes a one-day trip to the region Monday. Her 22 visits have netted little progress.
Israel to release up to 150 Palestinian prisoners later this month.
A permanent settlement in Maskiyot could hinder a faltering peace process as Palestinian and Israeli leaders meet with US secretary of State.
Israeli prime minister resigns from his post, but vows to pursue a deal with Palestinians and Syrians.
Tzipi Livni, Shaul Mofaz, and Bejamin Netanyahu are the top three politicians most likely to succeed Prime Minister Ehud Olmert, observers say.
Ehud Olmert's announcement on Wednesday night to cede leadership in September could spur a party shake-up and a shakier peace process.
The latest stops in his Mideast tour included the rocket-besieged Israeli town of Sderot and the West Bank town of Ramallah.