Melt butter with oil in a large skillet over medium high heat. When hot, add chicken breasts. Brown 3 to 5 minutes on both sides until golden.
Add mushrooms, and saute for 2 to 3 minutes, or until soft. Deglaze pan with wine, making sure to loosen any brown bits from bottom of pan. Simmer for 5 minutes.
Stir in cream. Add salt, pepper, and thyme. Reduce heat to low, and cover. Simmer for 5 to 7 minutes, stirring occasionally.
Remove cover. Reduce cream for 3 minutes, until thickened. Add red grapes, and heat through.