Soak the apricots: Place the dried apricots in a bowl of warm water for at least 30 minutes to soften. Once soft, drain and chop them into small pieces.
Combine ingredients: In a large bowl, mix the soaked apricots, oatmeal, chopped walnuts, and peanuts. Stir everything together until evenly combined.
Shape the bites: Take a spoonful of the mixture and roll it into small, bite-sized balls (about 1 inch in diameter). Place them on a parchment-lined baking sheet or plate.
Chill: Refrigerate the bites for at least 30 minutes to allow them to firm up.
Serve and store: Once chilled, serve immediately or store in an airtight container in the refrigerator for up to a week.