Preheat oven to 350 degrees. Pat eggs dry with paper towel.
Grind walnut pieces with 2 tablespoons grapeseed oil in a food processor into a thick spread.
Coat eggs with walnut spread, press firmly to adhere.
Set up dredge. Mix together breadcrumbs, paprika and salt. Dip coated eggs in beaten egg then breadcrumbs. Place eggs on baking dish and lightly spray with cooking oil.
Turn eggs to coat surface completely. Bake at 350 degrees for 10 minutes, turning once to brown.
While eggs bake, mix together remaining grapeseed oil. mustard, mayonnaise, onion and tablespoon of chopped walnuts for dipping sauce. Serve Walnut Vegetarian Scotch Eggs warm or cold.