Heat the olive oil in a large, heavy-based saucepan over a medium heat. Sweat the cabbage with a little salt and the ground cinnamon for 4-5 minutes, stirring occasionally until just softened.
Remove from the heat and transfer to a mixing bowl. Toss with the cubes of Comté and the walnut halves. Adjust the seasoning as necessary. Spoon into serving bowls and serve warm