Hamas has said it will not engage with any negotiations until the 600 Palestinians whose release was delayed are freed, putting mediators under pressure to resolve the latest dispute before the next release of hostage bodies on Thursday and the expiration of stage one two days later.
Israel is seeking to extend the first stage of the ceasefire agreement in the war with Hamas in Gaza and is prepared to resume fighting if there is no progress in crucial talks this week, according to reports.
Egypt, a key mediator between the sides, has also refused to discuss an extension of the first phase unless phase two talks begin at the same time, AP reported on Tuesday, citing two officials.
In stage two of the deal, of uncertain duration, Israel is supposed to completely withdraw its forces from Gaza, in effect ending the war, and talks on future governance of the strip should begin.
The group had previously said it was open to a short extension of phase one in order to keep aid flowing to the territory and talks on stage two alive.