1. Heat grill. In large bowl combine 1 Tbsp. of the olive oil, 1/4 tsp. salt and 1/4 tsp. lemon-pepper seasoning. Add potatoes, toss to coat. Place in grill basket
2. When ready to grill, place grill basket on gas grill over medium heat or on charcoal grill 4-6 inches from medium coals. Cook 15 minutes, shaking grill basket occasionally to turn and mix potatoes.
3. Meanwhile, place asparagus spears in same shallow bowl. Add remaining 1 Tbsp. olive oil, 1/4 tsp. salt and 1/4 tsp. lemon-pepper seasoning. Toss to coat.
4. Add asparagus to potatoes in grill basket. Grill about 10 minutes or until potatoes and asparagus are tender, shaking basket occasionally to turn and mix vegetables.