Preheat grill to medium-high. In a bowl, whisk together parsley, vinaigrette, pecans, capers and pepper. Add eggs to bowl; gently toss.
Place asparagus on greased grill; close lid and grill for 3 min. Turn asparagus; grill for 3 min. Add Romaine and radicchio to grill; grill until slightly wilted, 1 to 2 min. per side.
Arrange grilled greens on a platter and immediately spoon egg mixture over top; sprinkle with Oka cheese.
To make boiled eggs easier to peel, place them in ice water for a few minutes immediately after boiling.