As I recall, Ötzi was found just yards inside the unmarked border between Italy and Austria. There was some squabble over which side of the line he was on.
Yes, at first they were not sure whether the find spot was in Austria or Italy but it was determined to be in Italy (by 100 meters?) and that’s why his remains are now in Bolzano, Italy, the nearest big town on the Italian side of the border.