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Preheat oven to 400° and line a baking sheet with parchment paper or aluminum foil.
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Mix the olive oil, salt, pepper and balsamic together. Set aside.
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Bring a small pan of water to a boil and drop the pearl onions in for 30 seconds. Immediately remove from water and put in bowl of ice water. Let set about 5 minutes. Cut off the root end of the onion and squeeze to pop the peeled onion out of the skin. Set aside.
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Cut off the tough woody ends of the asparagus and arrange on the baking sheet. Scatter the pearl onions around the asparagus.
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Drizze with the olive oil mixture and bake for about 9-10 minutes (depending on thickness of asparagus). Remove from oven and sprinkle with the parmesan cheese and return to oven and bake another 4-5 minutes.
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Remove from oven and serve.