Prepare the Dry Base: In the bowl of a food processor, add the rolled oats and toasted walnuts. Pulse several times until the mixture resembles a coarse, sandy meal. Transfer to a separate bowl and set aside.
Rehydrate the Dates: Place the pitted dates in a small heatproof bowl. Carefully pour enough very hot (not boiling) water to cover them completely. Allow the dates to soak and soften for about 7 minutes, then drain all water thoroughly.
Create the Fruit Paste: Add the drained dates, chopped dried apple, and unsalted almond butter to the now-empty food processor bowl.
Add Seasonings: Sprinkle the ground cinnamon, nutmeg, ginger, and fine sea salt over the fruit and butter mixture.
Process Until Smooth: Secure the lid and process on high speed. The mixture will break down and eventually form a thick, sticky paste. Scrape down the sides with a spatula as needed.
Combine Wet and Dry: Add the reserved oat and walnut mixture back into the food processor. Pulse until everything is fully incorporated and a uniform, rollable dough forms.
Shape the Bites: Scoop the dough by the tablespoon (about 1 ½ tbsp or 30 g each). Roll the portions firmly between your palms to create 16 compact spheres.
Chill to Firm: Arrange the bites in a single layer on the parchment-lined baking sheet. Place in the refrigerator for at least 20 minutes to set and become firm before serving.