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Place chicken breast halves in a shallow baking dish; pour Marsala wine over the chicken breasts.
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Refrigerate for 1 to 2 hours.
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Remove chicken from wine marinade; sprinkle with salt and pepper.
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Return marinade to refrigerator.
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Heat butter and olive oil over medium; add chicken breast halves.
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Cook for about 5 minutes on each side, until chicken is browned, tender, and juices run clear.
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Transfer chicken to serving dish; cover and keep warm.
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Add reserved marinade and the halved grapes to skillet.
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Cook and stir until mixture boils.
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Continue to boil for about 45 seconds.
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Pour over chicken.
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Serve with rice, if desired.