Fill a large saucepan with 3 quarts water and set over high heat. Once water is boiling, add the tortellini and cook for 3-5 minutes (per package directions), until pasta is floating on top.
Drain pasta and rinse with cold water. Let drain in colander while you prepare the dressing.
In a large bowl, whisk together olive oil, vinegar, shallot, Dijon, oregano, basil, thyme, salt, and pepper. Taste and adjust seasonings as needed.
Add tortellini and mix well to coat, then add vegetables and mix again.
Garnish with fresh basil and serve immediately, or cover and chill until ready to serve.