Cook asparagus in large pot of boiling salted water until crisp-tender, about 3 minutes.Drain.
Place asparagus in large bowl of ice water to cool.Drain; pat dry.
Spray medium non-stick skillet with non-stick spray.
Heat skillet over medium heat.
Add shallots and saute 1 minute.
Add peas and saute 2 minutes.
Add broth. Bring to simmer.
Transfer mixture to blender.
Add 1 teaspoon tarragon.
Puree until smooth, about 3 minutes.
Season pea coulis with salt and pepper.
Pound each veal piece between sheets of plastic wrap to 1/4" inch thickness. Wrap asparagus in paper towels. Cover asparagus, pea coulis and veal separately and refrigerate.) Spray 2 large non-stick skillets with non-stick spray. Heat over medium-high heat. Sprinkle veal with salt and pepper.
Working in batches, add veal to skillets; sauté until brown and just cooked through, about 2 minutes per side. Transfer veal to platter. Tent with foil. Divide asparagus and remaining 2 teaspoons (10ml) tarragon between same 2 skillets. Saute over medium-high heat until asparagus is heated through, about 2 minutes. Re-warm coulis in heavy small saucepan over medium-low heat. Spoon 3 tablespoons (15ml) pea coulis onto each of 6 plates. Place veal on top of the pea coulis. Arrange asparagus alongside veal Scallopini.