Brief Answer:
This usually occurs in deficiency of vitamins.

Detailed Answer:
Hello
Welcome to health care magic.
I am Dr. Dadapeer K, an ophthalmologist and I answer health problems related to eye.
I reviewed your history.
Black circles around the eye and sunken eye in a seven year old girl usually indicate deficiency of essential nutrients and vitamins. This occurs in children following an episode of acute illness like viral fever....
The condition resolves with treatment by supplementation of vitamins and essential nutrients like multivitamin tablets or syrups.

Hope the information is helpful to you.
Fo write back to me for further questions.

Thank you
With regards

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