How to Locate the Lost Palantiri in the Reunited Kingdom

[Findegil]

It seems that Gondor send that rescue party to Barad-Dûr [form "Unfinished Tales", Part four, Chapter III: "The Palantíri"]:

... They were indeed unbreakable by any violence then controlled by men though some believed that great heat, such as that of Orodruin, might shatter them, and surmised that this had been the fate of the Ithil-stone in the fall of Barad-dûr.

Which means the Ithil-Stone was gone for good.

Respectfully
Findegil