Mix soy milk with cookable pudding mix, but don't cook. This substitutes for condensed milk in pudding recipe.
Put pudding mixture, rice, pumpkin, and pumpkin pie spice in saucepan and cook until thickened, about 8-10 minutes. Spread in serving pan and cool. Serve at room temperature.
To avoid soy, select a soy-free milk alternative.
To avoid corn, use a Kosher for Passover pudding mix.