If you need reflection in the eyes then you need something to reflect in them. This is physic-based lighting, reflection maps and other synthetic tricks are not valid anymore. You have to light the scene as a photoghrapher. From the sharp shadow that we see on the face I guess that you are using a spotlight. 

Spots cannot create relfections in the eyes because they are infinitesimally small lights. There's nothing to reflect.

Replace the spot with a meshlight, it will give you a much better result. The place another meshlight in front of the character so that it will reflect in the cornea. The cornea should be set to architectural glass with the transmission and the reflection set to pure white.

The following image shows this approach:

 

Hope this help

Paolo

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