On a clean work surface, butterfly the chicken breasts. To do so, slice each half in two lengthwise, without slicing all the way through. Then open them like a book.
Season the breasts with salt and pepper. Divide the fresh herbs, Saputo Mozzarellissima cheese, and asparagus among the breasts. Close and wrap each breast with two slices of prosciutto.
Grill the chicken breasts on the barbecue 5 to 6 minutes each side.