Rules FAQ:
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If another copy of a unique character in the chosen opponent's dead pile is already in play, either owned or controlled by you or by the chosen opponent, that character cannot enter play, neither as a character nor as a duplicate, and so it remains in the dead pile (see FAQ).
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If there are two or more copies, by title, of the same unique character in the opponent's dead pile, House of the Undying will not put any of them into play.
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Characters directly moved from play to the dead pile are not considered to be killed (similar to Heads on Spikes).
- The owner of the cards (not the current controller) chooses in which order they are placed in the dead pile (relevant for Ghosts of Harrenhal).