Follow these steps carefully to achieve a perfectly smooth and luscious Creamy Coffee Pudding:

1. Combine Dry Ingredients: In a medium-sized, heavy-bottomed saucepan, whisk together the granulated sugar, cornstarch, and salt. Breaking up any lumps in the cornstarch now is crucial for a smooth final texture.
2. Dissolve Coffee: Add the instant espresso powder (or instant coffee granules) to the dry ingredients in the saucepan. Whisk everything together thoroughly.
3. Incorporate Liquids Gradually: Slowly pour about ½ cup of the whole milk into the saucepan with the dry ingredients. Whisk vigorously to form a smooth, lump-free paste. This step is vital to prevent cornstarch clumps from forming when the rest of the liquid is added.
4. Add Remaining Liquids: Once you have a smooth paste, gradually whisk in the remaining whole milk and the heavy cream. Continue whisking until the mixture is homogenous and well combined.
5. Cook the Pudding: Place the saucepan over medium heat. Bring the mixture to a simmer, whisking constantly and ensuring you scrape the bottom and corners of the pan to prevent scorching and sticking. This constant whisking is key to a smooth texture and even cooking.
6. Thicken the Pudding: Once the mixture begins to simmer gently (you’ll see bubbles breaking the surface), continue to cook and whisk constantly for another 1-2 minutes. The pudding should noticeably thicken to the consistency of a loose custard – it will coat the back of a spoon. Don’t over-boil, as this can sometimes affect the texture.
7. Remove from Heat and Add Vanilla: Take the saucepan off the heat immediately once thickened. Stir in the vanilla extract until fully incorporated.
8. Strain (Optional but Recommended): For the absolute smoothest, silkiest texture, pour the hot pudding through a fine-mesh sieve into a clean bowl or large measuring cup. This step catches any tiny lumps or potentially scorched bits that might have formed.
9. Portion and Cover: Carefully divide the pudding mixture among individual serving dishes (ramekins, small bowls, or glass cups work well). Alternatively, you can leave it in the single bowl if you prefer to serve it family-style.
10. Prevent Skin Formation: To prevent a skin from forming on top of the pudding as it cools, carefully place a piece of plastic wrap directly onto the surface of the pudding in each dish (or the single bowl), ensuring it touches the entire surface.
11. Chill Thoroughly: Place the covered pudding dishes in the refrigerator. Chill for at least 4 hours, or preferably overnight, until the pudding is completely cold and set firmly. Proper chilling is essential for the final texture and flavor development.
12. Serve: Once fully chilled and set, remove the plastic wrap just before serving. Garnish as desired (see “How to Serve” section below) and enjoy your delicious homemade Creamy Coffee Pudding!