Blend ingredients: Combine the cannellini beans, pickled red onions, pickling liquid, olive oil, smoked paprika, salt, black pepper, lemon zest, and lemon juice in the bowl of a food processor. Blend until smooth and creamy.
Transfer to a serving bowl: Spoon the white bean dip into a serving bowl.
Garnish and serve: Drizzle with extra virgin olive oil and sprinkle with additional smoked paprika. Top with a few pickled red onions and serve immediately.