This recipe is from Dorie Greenspan’s newest cookbook, “Around my French Table”. It's a delicious, comforting dessert, with or without the apples. The slight tartness of the apples and the decadence of homemade caramel sauce pair nicely with a creamy and not too sweet vanilla rice pudding. COOKING NOTES: Watch the pudding closely in the last 10 minutes, don’t cook it until all the milk is gone or you’ll have a stiff pudding. If you are going to chill it add more vanilla extract as the cold will mute flavors. Press a plastic wrap on the surface and let the pudding cool to room temperature. DO AHEAD: Pudding can be made 2 days ahead. Keep refrigerated. Caramel apples can be made 1 day ahead. Cover and refrigerate. Stir over medium heat until just warm before using.