Grilled Portobello Benedict

Name: Grilled Portobello Benedict
Ingredients: Nonstick cooking spray; 4 portobello mushroom caps, about 4 ounces each; 1 tablespoon olive oil; 1/4 teaspoon salt, plus more to taste; 4 pieces Canadian bacon; 8 large eggs; 2 tablespoons water; Freshly ground black pepper; 4 teaspoons store-bought basil pesto; 8 fresh basil leaves, cut into ribbons; 4 teaspoons freshly grated Parmesan