Bring stock (broth) to boil. Dilute corn starch in a little cold water or stock (broth). Gradually incorporate the diluted corn starch. Stir until the stock is thick enough to lightly coat back of spoon. Allow stock to cool. When cool, incorporate the vinegar and oil along with herbs into food processor. Add salt to taste. Heat grill. Lightly toss vegetables in marinade, just enough to coat. Place on grill and cook until tender, approximately 3-5 minutes (depending on size of vegetables). Grill smoked sausage alongside vegetables. Serve smoked sausage with arrangement of vegetables. Garnish with basil.