Season the salmon fillets with salt and pepper. Heat a saute pan with the oil until hot. Saute the salmon fillets on one side for about 3 minutes. Turn salmon. Reduce the heat to medium and cook salmon for 3 to 5 minutes or until done. Transfer the salmon to a warm platter. Add the shallots and garlic to the pan. Cook over medium heat for a minute. Do not brown. Add the basil leaves and wine to the pan. Simmer to wilt the basil. Stir the cream into the sauce. Simmer to reduce sauce to half. Season to taste.
Arrange each salmon fillet on a hot plate. Spoon the sauce over.