A girl east of the Pokemon Center in Agate Village will give it to you. She is in blue
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clothes. Answer "No" to her in order to get it.
The Cologne Case is found in Agate Village. A girl with a blue shirt gives it to you. Go to the Deep Colosseum after you get the Amulet Coin. Give the Amulet Coin to Umbreon or Espeon. Win the challenge and you will get about 44,000 coins. Then, go back to Agate Village and to the Pokemart. Buy Vivid Scents and give them to your Shadow Pokemon to purify them.