David Barnea is the current director of the Mossad, Israel's primary foreign intelligence agency.
To all the hostages who hear me now, know that the fight is ongoing, and we are not giving up on you," Aloni said.
Hamas will likely comply because it has an interest that Israel will withdraw its forces from the Netazrim corridor, an Israeli official told The Jerusalem Post.
Barnea has made no fully public comments and endeavored to stay in the shadows.
During high-level discussions within Israel’s political and security leadership, the Mossad chief reportedly called for a direct strike on Iran following Houthi attacks.
The meeting is the second between the Mossad chief and al-Thani, following their meeting in Vienna in late November.
The proposed deal would see Hamas releasing eight hostages in exchange for dozens of Palestinian prisoners.
The talks marked the first high-level discussion on a hostage deal that has been held since Hamas executed six of the captives, including Israeli-US citizen Hersh Goldberg-Polin.
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.