David Barnea is the current director of the Mossad, Israel's primary foreign intelligence agency.
Hamas quickly turned the proposal down after it was initially pitched during a meeting between Barnea and Egyptian officials.
Hamas officials have also stated that they are sending representatives for talks in Doha.
Barnea wants to link any Hezbollah interest in a ceasefire with Israel so that it could be contingent on the release of the hostages in Gaza.
Mossad Chief David Barnea has worked tirelessly to combat the threat posed by Iran and its proxies.
Iran has plotted at least twice as many terror attacks against Jews around the world since October 7. This is how the Mossad as been fighting Tehran's efforts.
Zangauker said to the probe that Barnea told her that a deal would not be possible because of politics in a meeting between the two that she thinks took place around March.
Qatar and Egypt have been the main mediators for the deal with the help of the United States.
The PMO denied allegations that Hamas agreed to a deal and that negotiations stalled due to attempts by Israel to change conditions.
The Hezbollah-affiliated Al-Akhbar published a report detailing Israel's alleged conditions for a hostage.
“The negotiations on the main issues will continue in the coming days,” a statement by the Prime Minister's Office stated.
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