Place the eggs in a saucepan and cover with water; bring to a boil, then cover, remove from heat, and let sit for 9 minutes before cooling in an ice bath.
Peel the cooled eggs and quarter them into bite-sized pieces.
Dice the deli ham and slice the vienna sausages into thin rounds.
Chop the cucumber into half-moons and halve the cherry tomatoes.
In a small bowl, whisk together the olive oil, red wine vinegar, dijon mustard, sea salt, black pepper, and dried oregano to create the dressing.
Combine the quartered eggs, diced ham, sliced sausages, cucumber, and tomatoes in a large mixing bowl.
Drizzle the prepared dressing over the salad and toss gently to ensure all ingredients are evenly coated before serving.