Step 1

In a Dutch oven or soup pot, cook onions, carrots, and celery with 1 tablespoon water over medium-high heat for 8 minutes, stirring frequently and adding water, 1 to 2 tablespoons at a time, as needed to prevent sticking. Stir in mushrooms and garlic; cook 5 minutes more, stirring frequently and adding water as needed.

Step 2

Stir in potatoes, tomato paste, Italian seasoning, and paprika. Add 5 cups of water. Bring to boiling; reduce heat to medium-low. Stir in rosemary. Cook, covered, 15 minutes, stirring occasionally. Stir in peas; cook, covered, 5 minutes more or until carrots and potatoes are tender.

Step 3

Transfer 2 cups of the mixture to a blender. Cover and blend until smooth. Return to soup pot. Stir in parsley.