Combine first 5 ingredients in a large bowl; let stand 15 minutes.
Add pistachios and next 4 ingredients (through salt); mix well. Press bulgur mixture into a (1/4-cup) dry measuring cup; unmold onto a platter. Repeat with remaining bulgur mixture to form 12 patties total. Chill for 15 minutes; shape each bulgur portion into a 2 1/2-inch patty. Top with chopped parsley, if desired.
Wine note: A fresh, light dish of Bulgur-Pepper Patties (Batirik) makes a great match for a lemony, green sauvignon blanc. The Chilean Terra Andina Reserva Sauvignon Blanc 2008 ($1