Line a baking sheet with parchment paper and set aside.
Preheat the oven to 425℉.
In a medium bowl, add all of the ingredients for the Russian Dressing. Whisk to combine until smooth and homogenous. Taste for seasoning and adjust as needed. Set aside.
In a large bowl, add the corned beef, sauerkraut, Swiss cheese, and 2 tablespoons of the prepared Russian Dressing. Using a fork, mix to combine until the cheese and sauerkraut are evenly distributed.
Fill a small bowl with water. Working on a clean cutting board, lay one egg roll wrapper down so it looks like a diamond, with a point facing you.
Spoon 2 to 3 tablespoons of filling onto the lower third of the wrapper. Press the filling down gently so that it’s not in a mound. Dip your finger in the water and wet all four edges of the wrapper—this will help seal it.
Lift the bottom corner up and over the filling, pulling it snugly to tighten the roll. Continue rolling once or twice until the filling is enclosed. Fold the left corner over toward the center, then the right corner, pressing to stick them to the wrapper.
Finish rolling tightly all the way up to the top corner, sealing the egg roll completely. Place on the prepared baking sheet and repeat with the remaining wrappers.