CHOP GARLIC IN A FOOD PROCESSOR TO A COARSE PASTE, STOPPING OCCASIONALLY TO SCRAPE THE SIDES OF THE BOWL.
HEAT OIL IN A LARGE SAUCEPAN OVER LOW HEAT. ADD THE GARLIC PASTE AND COOK JUST UNTIL THE PASTE BEGINS TO COLOR, STIRRING CONSTANTLY. STIR IN THE CHICKEN BROTH AND WINE. BRING MIXTURE TO A BOIL.
REDUCE HEAT AND SIMMER FOR 30 MINUTES. STIR IN THE MILK, HEAVY CREAM AND POTATO CUBES AND SIMMER ON LOW HEAT FOR 30 MINUTES.
PUREE SOUP IN BLENDER, RETURN TO POT AND SIMMER. ADD SALT AND PEPPER TO TASTE. SERVE WITH TOASTED BUTTERED FRENCH BREAD.