Reserve 1T basting oil. Combine parsley and remaining basting oil in blender; blend until smooth. Set aside.
Heat reserved tablespoon basting oil in braising pan on MEDIUM-HIGH; add vegetables. Cook, stirring, 5 min, until soft but not browned. Season to taste with salt and pepper. Add wine; cook 3-5min, until liquid is reduced to one third. Add tomatoes, basil, and seafood stock; heat to 170-degree simmer. Reduce heat to MEDIUM-LOW. Simmer 12-15 min until vegetables are tender.
Add shellfish; return to 170-degree simmer. Cover; poach 5-7min, until shells open. (Discard any shells that do not open.) Transfer shellfish to serving platter.
Add parsley/basting oil mixture to pan; stir to heat. Serve over shellfish.
Option: Serve with toasted rustic bread.