Combine all ingredients in a mason jar or Tupperware with a tightly sealed lid. Shake to combine.
Slice turkey, ham, and Swiss cheese into chunky pieces. Chop romaine into thin ribbons. Slice grape tomatoes in half.
Combine turkey, ham, Swiss cheese, romaine, and grape tomatoes in a large bowl. Toss or shake to distribute ingredients evenly.
Drizzle dressing over top of salad. Toss or shake to distribute evenly.
Top with Parmesan cheese and croutons when serving.