Israeli media had reported Thursday that two rockets hit Jordan's Red Sea port city of Aqaba and Israel's nearby port of Eilat.
Jordan confirmed that a Grad rocket struck an Aqaba warehouse, but the Israeli military said at the time that it found no evidence of anything landing in Israel.
On Sunday, the military said two civilians reported finding a suspected rocket off Eilat's coast over the weekend. The Israeli navy later recovered the remains of a 122 mm Grad.
The military says it isn't clear where the rocket was launched or if it was related to the one that struck Jordan.