Heat the oil in a small saucepan. When the oil is hot, add the garlic, chili paste and tomato paste, Fry until the garlic is golden brown, about 30 seconds. Add the broth, sugar, peanut butter and hoisin sauce and whisk to dissolve the peanut butter. Bring to a boil, Reduce the heat and simmer for 3 minutes.
Divide the sauce among individual dipping bowls and garnish with the ground peanuts and sliced chile. Serve warm or at room temperature.