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Preheat the oven to 400 degrees F. Line a medium baking sheet with parchment paper and set off to the side.
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Peel apples and use a box grater to shred the apple.
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To prepare the fennel, cut the fronds off, and then remove the middle core. Use the box grater to shred the fennel as best you can. The fennel can also be thinly and finely chopped.
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Combine the bacon, apple, fennel, Brussels sprouts, salt, pepper, lemon juice, and ginger in a medium mixing bowl. Mix well.
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Rub each wrapper with a bit of egg white around all the edges. Position the wrapper so it looks like a diamond, with one of the corners pointing towards you. Place two heaping tablespoons of filling near the closest corner. Fold the same corner over the filling, tuck the two outside corners over the first corner you folded, and then roll closed. Place each egg roll on the parchment lined sheet seam side down. Continue this process until all eggrolls are made.
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Brush each egg roll with a bit of olive oil.
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Bake eggrolls for 15-20 minutes until golden, crispy, and bubbly. Serve right away with some soy sauce.