Heat olive oil in a large pot over medium heat.
Add diced onions, and cook until translucent, about 5 minutes.
Stir in minced garlic, diced carrots, and celery, cooking for another 3-4 minutes.
Season with salt, pepper, and thyme; then add chicken thighs.
Pour in the chicken broth and bring to a simmer.
Simmer the chicken thighs for about 15-20 minutes, until cooked through.
Remove chicken thighs, shred them, and return to the pot.
Add pastina and cook according to package instructions, usually about 6-8 minutes.
Adjust seasoning as needed, and stir in fresh parsley before serving.