Families of hostages who spoke with U.S. President's Middle East envoy Steve Witkoff and hostage affairs envoy Adam Buhler were told there is a significant chance of progress on a hostage deal in the coming days. The U.S. is working behind the scenes and applying pressure on both sides. The assessment in Israel is that the U.S. is pressuring it to agree to Washington providing Hamas with guarantees for ending the war, which is Hamas's condition for accepting the original 'Witkoff framework.'