Place beets on a sheet of aluminum foil and drizzle with olive oil. Fold foil around the beets to create a sealed pouch.
Place the pouch on a cookie sheet and bake until beets are tender. Cooking time varies on the size of the beets. After 30 minutes, pierce the beets with a fork. If they are still hard, return to the oven and test them every 15 minutes until they are tender.
Remove from oven and stand until they are cool enough to handle. Use your hands to peel away the skin. Slice into bite size wedges and drizzle with balsamic vinegar.
Line the bottom of a large bowl with sprouts and top with beets and grapefruit.