Turn on grill to high heat.

In a small, heavy bottom sauce pot, pour in the Zinfandel and brown sugar and stir in well. Bring to a boil, then turn the heat down to medium and simmer the wine slowly until reduced to a glaze, about 20 to 25 minutes.

Brush the peach halves with olive oil and sprinkle with salt and pepper. Place on a hot grill, 1 minute on each side, to lightly mark the peaches. When warm, pull from the grill and place on a warm plate. Brush the peaches with the glaze and place on a serving plate. Lay the pieces of cheese over the peaches. Lightly drizzle the some of the remaining glaze over the fruit and cheese. Serve immediately.