Preheat the grill to medium-high heat.
In a large bowl, mix together the salmon, eggs, breadcrumbs, dill, parsley, olive oil, salt, and pepper.
Form the mixture into patties
Grease the grill with oil and place the burgers on the grill.
Grill for about 4 minutes per side, or until the burgers are cooked through.
Meanwhile, in a small bowl, mix together the mayonnaise, yogurt, dill, lemon juice, and salt for the creamy dill sauce.
Serve the burgers with the creamy dill sauce.