If you follow the epic story...I doubt that his corpse was treated with any dignity.
According to the tales, he died before the denouement, and was cremated, so he wouldn’t have had a tomb, probably. If there’s an urn of ashes inside this one, well, then...
http://www.timelessmyths.com/classical/heroes2.html#Paris
http://en.wikipedia.org/wiki/Paris_(mythology)