The following information may help to address your question:
At present there is no known specific treatment to stop the progression of progressive hemifacial atrophy. Since multiple systems of the body may be affected, a multidisciplinary team of physicians, surgeons, dentists, and psychologists may be needed to manage the different symptoms.
Treatment options for progressive hemifacial atrophy are often the same as those used for linear scleroderma and may include the following:
Hemicranial pain syndrome (can be in form of migraine or continuous severe headache, but on one side of the head) has been treated successfully by repetitive local botulinum toxin A injections. Treatment of the eye and nerve involvement is symptomatic.
Progressive hemifacial atrophy stops progressing on its own within 2 to 20 years, which makes it hard to decide if a therapy is successful. After the condition does stabilize, reconstructive surgery may be used to restore the natural shape of the face and eye. 
The following techniques are options for surgical reconstruction: