Preheat grill to high heat. Make a tray out of heavy-duty foil large enough for the salmon fillet by folding a long piece in half and folding up all four sides, dull side up.
Grease foil tray with olive oil until well coated. Place foil tray on a platter or metal tray to transport to the grill. In a small bowl, mix together ginger, basil, paprika, cumin, coriander, turmeric, salt and cayenne pepper. Place salmon fillets in foil tray skin side down ( or boned side up if it is skinned); Squeeze lime juice over salmon and rub the ginger spice blend into the fillet.
Transfer the foil tray to the hot grill. Cook in a hot covered grill for 10 minutes per inch of thickness of the fish fillet. Do not overcook or it will be dry. Turning is not necessary.
You may bake the salmon at 475°F for about 15 minutes.
For the green curry sauce, stir together green curry paste, curry powder, coconut milk, chicken broth, fish sauce, sugar, and basil leaves in a sauce pan. Simmer for 5 minutes. Spoon atop grilled rubbed salmon fillets and then top with fresh squeezed lime juice and fresh basil.