OK. Fair enough.
First, I don't think you are going to get too many takers to do work on such a small image, and especially one so underexposed that you can hardly see any detail in the animal.
With respect to technique, there is no automated or semi-automated technique (eg, like the red-eye tool) that is going to work for the image you posted. This is because the glow is so intense, there is almost no detail left in these areas to work with.
As you were probably thinking before you removed the images of the other dogs that you had initially posted, IMHO, the best way is to replace the eyes + a good bit of their surroundings with the corresponding areas from photos at the same resolution of a similar animal (same breed, in the same pose, in the same light (direction, color, brightness, etc.)). The real challenge will be finding a suitable image from which to pull the material you need.
Find a good source image, and you will hardly have to do any work in Photoshop. In contrast, if you try to make do with an imperfect match, you'll be spending lots of time in PS adjusting size, sharpness, perspective, color, brightness, shadow direction and amount of shadow detail, catchlights in the eyes, etc. etc., and even after all that, may never get the result to look realistic, especially if one can see lots of detail in the original image.
Unless, for some bizarre reason, that one particular image is incredibly important and can't be re-photographed using proper photographic technique, the best (ie, quickest, highest quality) technique IS to take another photo or have someone with better photographic skills take it.
Just my $0.02,
Tom M
PS - While I was typing, I see that Spruce proved me wrong about "few takers". Nice job, Spruce.