Heat oven to 350 degrees. Spread walnuts in a single layer on baking sheet. Toast in oven until walnuts are just fragrant, about 10 minutes. Let cool completely. Roughly chop walnuts.
Place figs in the bowl of a food processor, and process until finely minced (may need to be in two batches).Transfer figs to a large bowl, and add chopped walnuts. Add dates, citrus peel, chocolate, pistachios, 2 tablespoons brandy, anisette, cinnamon, nutmeg, vanilla, and salt, and mix well, using your hands for best results.
Divide mixture into four equal parts. Dust a clean work surface with confectioners' sugar. Gently roll each part into a log about 2 inches in diameter and 12 inches long. Gently brush off excess sugar with a pastry brush. Roll each log in rice paper. Brush each log with about 1 tablespoon brandy. Do not worry if rice paper tears. Wrap logs again in parchment, and secure with string. Store in a dark, cool, dry place, sprinkling rice paper with brandy once a week for at least 1 month before serving. Slice rolls into thin rounds to serve.