Peel and section oranges over a bowl, reserving 2 tablespoons juice. Set sections aside.
Combine reserved 2 tablespoons juice, shallots, and next 6 ingredients (through pepper), stirring with a whisk.
Arrange 2 cups lettuce on each of 8 plates; top evenly with reserved orange sections. Drizzle each serving with 1 tablespoon vinaigrette; sprinkle each serving with 1 1/2 teaspoons nuts. Serve immediately.