Cut pomegranate in quarters and remove seeds. Extract the juice from the pomegranate seeds by placing the seeds on a strainer or bowl and pressing down with a ladle or mallet.
Roast the red peppers, place in a bowl, cover with plastic for 8 minutes, and then peel, seed, and dice the roasted red pepper into very small pieces.
In a mixing bowl, combine the pomegranate juice, diced roasted red pepper, diced red onion, chopped mint, olive oil, and lime juice. Season with salt and pepper.
Serve with cold-water Eastern or Atlantic oysters, preferably either Malpecque or Bluepoint, on the half shell.