The pro-government al-Bayan daily quoted unidentified Palestinian sources as saying that Washington offered "advanced cooperation with Hamas, reflecting a shift in the American position."
The sources said Washington offered to recognize a Palestinian Authority where Hamas is a participant in return for the dismantling of its armed wing, the Izziddine al-Qassam Brigades.
They added that Hamas proposed a compromise whereby it commits to a long-term truce with Israel by stopping all military operations against the Jewish state.
Hamas also reportedly said it was ready to dismantle the Izziddine al-Qassam Brigades in the West Bank, but not in the Gaza Strip in case the Palestinian Authority revokes the results of the future Palestinian legislative elections.
The paper did not say where the negotiations were taking place.