Cover aji pepper with hot water. Allow to soak for 15 minutes; drain.
Combine tomato, onion, and cilantro in a food processor fitted with a blade. Add garlic and pulse a few times. Add drained pepper, lime juice, red wine vinegar, and olive oil. Blend until desired consistency has been achieved. Season with salt and pepper.
Stir pebre to combine. Top with sliced jalapeno before serving.