Brush the rough matte side of a sheet of nori with the wine. Place the sheet on the counter and spoon the rice in a 1-inch-wide strip across the middle of the sheet. Place one of each vegetable on top.
Roll the nori as in a waffle cone by grasping the upper right corner of the nori between your thumb and middle finger and folding it over the rice to meet the opposite side. Pick up the lower left corner and wrap it around to form a cone.
Serve with the wasabi, soy sauce, and pickled ginger.