@iamsam82,
There are two possibilities; one of them is a little bit weird, and the other is exceedingly weird..............
The possibility which is just a little bit weird is Vendramini's claim that the Neanderthal had become nocturnal for purposes of hunting. Vendramini also claims that to be nocturnal and yet still be able to function in daylight, a creature with night-vision eyes, particularly huge night-vision eyes as per the Neanderthal, would also need slit pupils and Vendramini assumes they had them. You'd need to somehow reconstruct a Neanderthal (not wise) to check it out...
Another problem is that many if not most dinosaurs had similar large eyes:
http://news.discovery.com/animals/nocturnal-dinosaurs-night-fossil-110414.html
and that included herbivores and flying dinosaurs as well as predators. In our own day and age there are a few monkeys with such eyes but no large herbivores.
The other possibility I mentioned which is significantly more than a little bit weird would nonetheless account for the big eyes in such a number of dissimilar creatures; this is the claim that those creatures never experienced anything which we would call daylight at all.
Read at your own risk...
http://saturndeathcult.com/the-sturn-death-cult-part-1/a-timeless-age-in-a-purple-haze/