Peachy Chicken and Asparagus Rollups

1 pound thin asparagus ,trimmed
1 tbsp extra-virgin olive oil
Salt and pepper
3 tbsp apricot jam
1 tbsp lemon juice
6 skinless, boneless chicken breast halves (about 5 ounces each)

Fill a medium skillet halfway with salted water; bring to a boil. Add the asparagus and cook for 2 minutes. Drain in a colander; rinse with cold water. Toss with 2 teaspoons olive oil; season with salt and pepper.

Preheat a grill to medium. Cut six 12-inch pieces of kitchen string. In a small bowl, stir together the jam, lemon juice and remaining 1 teaspoon olive oil.

Pound each piece of chicken about 1/4 inch thick and season with salt and pepper. Divide the asparagus into 6 equal portions and place each portion crosswise in the center of a chicken cutlet. Roll up each cutlet and tie closed with the kitchen string. Brush the rollups with the jam mixture; season with salt and pepper.

Transfer the chicken rollups to the grill, cover and cook, turning occasionally, until browned, about 15 minutes.