Puree the plum tomato, sun-dried tomatoes, vinegar, garlic, oregano, a basil leaves and parmesan in a blender, drizzling in the sun-dried tomato oil until smooth. Add 2 to 3 tablespoons water, if needed to make a pour-able dressing; season with salt and pepper.
Heat the olive oil in a large skillet over medium-high heat. Add the breadcrumbs, season with salt and pepper and cook, stirring occasionally, until golden, about 2 minutes. Add the remaining parmesan and the parsley and cook until toasted, about 1 more minute.
Toss the salad greens, mozzarella, and remaining basil in a large bowl. Toss with the dressing, then sprinkle with the breadcrumb mixture.