Cook tortellini according to package instructions.
In the meantime, in a large bowl, combine all remaining ingredients except for the pepperoni (artichoke hearts, olives, peppers, and any other veggies you are using).
Add cooked tortellini to the bowl, then pour in olive oil and sprinkle dried basil, salt, and pepper. Gently coat all ingredients by mixing with a wooden spoon.
Cover and refrigerate for at least 30 minutes, up to overnight.
Thread ingredients on skewers in your preferred order. Serve immediately, or cover and refrigerate until ready to serve.
Notes
If you are skewering ingredients a few hours before serving, either lightly spray with olive oil spray or lightly brush olive oil over each skewer before serving to ensure they are not dry.