I cannot answer your question, since (whilst I have an open mind on reincarnation) I cannot believe that past life ownership is provable.
BUT, I worked in Tel Aviv for a while.
50, 60, 70+ years ago the Palestinians who owned and lived in a lot of properties there left, presumably hoping one day to come back.
Those houses are still empty, decaying and (sortof) un-owned (unless the grandchildren of the original owners choose to return).
You don't need re-incarnation to reclaim ownership......