Hi culiq.
I'm using the Dr. Jeffrey Dover Skin Effects Brightening something-or-other in the mornings, and it says it can be used around the eyes, just not to get it too close to the lash-line. I guess it would depend on what you are using, but I would think you probably could and you could start out just using a little bit to make sure you don't react. I use tri-luma at night and I do put it under my eyes, after I put on my eye cream (also the Dover product).
I don't think you'd have a problem with using the other products together.
Hope this helps!