Heat the oil in a pan over medium heat. Add the onion, rosemary, thyme, carrots, celery, eggplant, and garlic.
Cook for about 10 minutes, stirring frequently, until the vegetables have softened.
Add the wine and parmesan rind. Cook for 1-2 minutes until the alcohol has burned off.
Add the stock and bring to a boil. Cook for about 10 minutes until the vegetables are perfectly tender.
Remove and discard the parmesan rinds. Blend the soup a little to make it creamy, but you still want to have pieces of diced vegetables for textural interest.
Add the pastina and chicken. Cook according to the instructions on the pasta packet - usually not more than 2-3 minutes for tiny pasta.
Scatter over the parmesan and serve hot.