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An Israeli defence official said the operation would not be launched before US President Donald Trump concludes his visit next week to the Middle East.
Sources indicated that air traffic at Tel Aviv airport was temporarily halted after a missile launched from Yemen landed in the vicinity.
Instead, Hayya said Hamas was ready to immediately engage in "comprehensive package negotiations" to release all remaining hostages in its custody in return for an end to the Gaza war, the release of Palestinians jailed by Israel, and the reconstruction of Gaza.
The move is in solidarity with the victims of the Gaza war.
No casualties were reported, according to the civil emergency service.
Israeli Prime Minister Benjamin Netanyahu seeks to limit the sting of tariffs imposed on his country at a meeting with US President Donald Trump.
The 15 paramedics and emergency responders were shot dead on March 23.
Netanyahu's office said in a statement the prime minister, who is visiting Hungary, would depart for Washington on Sunday.
French President Emmanuel Macron will use an Egypt visit next week to travel near the Gaza Strip.
Israel "is seizing territory, striking terrorists, and destroying infrastructure", said Netanyahu.
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