The top US diplomat has spent months trying to get the Israelis and the Palestinians to agree on a framework for resolving their decades-old conflict, but the negotiations have shown little sign of progress, with each side blaming the other.
"We are at an important point in the negotiations where we are engaged with narrowing the gaps between the parties on a framework for negotiations," State Department spokeswoman Jen Psaki said.
"It was an appropriate time to spend a few hours meeting with president Abbas to talk about the core issues."
US officials insist they are making progress on drawing up the framework, which is due to set out parameters and goals of the negotiations.
Israeli army radio today reported that Washington was to demand that Israel implement a partial settlement freeze after Kerry presents his framework.
Quoting US negotiators involved in the talks, the radio said the United States was hoping to obtain a freeze on construction in isolated settlements outside the major West Bank blocs, which Israel hopes to retain in any peace deal.
Palestinians insist that the question of those who fled or were forced out of their homes when Israel was created in 1948 be resolved on the basis of UN General Assembly Resolution 194, which defines principles for their "right of return".
Speaking to 250 Israeli students in Ramallah on Sunday, Abbas said he did not want "to flood Israel" with returning refugees, and Palestinian negotiators have said the right of return would "not create an existential crisis for Israel."