Liverpool great Fowler has worked in India in the past as East Bengal coach.
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Meanwhile, Liverpool Champions League winner Kewell hias been coaching in Asia, with his last job being with Yokohama F Marinos.
The Times of India is reporting both former Liverpool stars are now battling for the India post.
The All India Football Federation (AIFF) have invited applications after accepting the resignation of Manolo Marquez.
Fowler and Kewell are two of 170 applications so far received by the AIFF.