1. To prepare sauce, place strawberries in a small, heavy saucepan; partially mash with a fork. Stir in sugar, vinegar, broth, and coriander; bring to a boil. Reduce heat, and simmer until reduced to 2/3 cup (about 30 minutes), stirring occasionally. Strain mixture through a sieve over a bowl; discard solids.
2. To prepare chicken, combine cheese, thyme, and prosciutto in a bowl. Cut a horizontal slit through thickest portion of each chicken breast half to form a pocket; spoon 3 tablespoons cheese mixture into each pocket.
3. Heat a large nonstick skillet over medium heat. Coat pan with cooking spray. Sprinkle both sides of chicken evenly with salt and pepper. Add chicken to pan; cook 5 minutes or until browned. Turn chicken over; cook 4 minutes or until done. Serve with sauce.
Wine note: If you haven't tasted Soave in awhile, it's time to get reacquainted with this northern Italian white. Quality examples like Inama Vin Soave 2006 ($15) have the body to handle fish or white meats, like the preceding chicken dish. Soave's generous acidity can match the vinegary gastrique, while the herbal and citrus nuances lift the coriander. —Jeffery Lindenmuth