In a large stockpot set over medium heat, combine the wine, port, cognac, brown sugar, orange peel, cardamom, cinnamon, cloves and star anise. Bring to a simmer and then remove from the heat. Cover and set aside for 2 hours.
Strain the glogg through a fine-mesh strainer, discard the spices and rewarm. Place a few blanched almonds, raisins and dried cherries in each glass and add the glogg. Serve immediately.