The fate of the two hostages, which has strong domestic resonance in Israel, could cast a shadow over a meeting between Israeli Prime Minister Benjamin Netanyahu and Trump on Monday. The Hamas military wing, Al-Qassam Brigades, called on Israel on Sunday to pull troops back and suspend air strikes on Gaza City for 24 hours so fighters could retrieve the captives.

Trump told Reuters in a phone interview he had received a "very good response" from Israel and Arab leaders to the Gaza peace plan proposal and that "everybody wants to make a deal."

Hamas said the group had not yet received any proposal from Trump nor from mediators.