Salt and pepper the fillets and fry them gently in the oil until they are cooked through. Keep warm.
In the meantime, wash the grapes, drain them and cut them in half. Heat the chicken broth. Mix the cornstarch with a little cream. Pour the rest of the cream with the cheese into the hot broth and stir in the mixed cornstarch. Bring the mixture to the boil, stirring constantly, and simmer until the cheese has melted and the starch binds. Put the grapes in the sauce and let it get hot.
To serve, cover the meat with the sauce and garnish with parsley.