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Combine gorgonzola, thyme, pepper and prosciutto in a bowl. Cut a horizontal slip through the thickest portion of each chicken breast half to form a pocket. Spoon 3 tablespoons of cheese mixture into each pocket. Season chicken with salt and pepper.
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To make the sauce, place strawberries in a small saucepan. Partially mash strawberries with a fork or large spoon. Stir in sugar, vinegar, broth, coriander and black pepper.
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Bring mixture to a boil. Reduce heat and simmer until mixture has reduced to 2/3 cup, this should take about 30 minutes.
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Strain strawberry sauce through a sieve over a bowl. Discard the solids. (I actually left the sauce as is and did not strain.).
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Heat olive oil in a large skillet over medium heat. Cook chicken 5 minutes per side, or until browned and completely cooked. Serve with sauce.