Preheat oven to 350°F. Coat a 12-cup muffin pan with cooking spray.
Peel potatoes, then grate them through the large holes of a box grater into a large bowl. Squeeze in small batches between your hands over the sink to remove excess moisture. Then grate onion into the bowl through the same holes in the box grater.
Stir in garlic, basil, egg substitute, cheese, oil, salt and pepper. Place a generous 1/2 cup of the potato mixture into each muffin cup, packing the mixture firmly.e the latkes until lightly browned and firm, 45 to 50 minutes. Cool in the pan on a wire rack for 10 minutes before unmolding.