My Razer mousepad is peeling off, any suggestions on how to stick it back or prevent further peeling?

It started after I got it wet to clean the hand gunk and got much worse when I did it again last night. Besides dealing with the current peeling, I also need to find a better way of cleaning it other than immersing it with warm water with dish detergent, apparently.

My first thought is applying a few drops of super glue to the edge to hold the fabric in place. It's the top left corner (pad is upside-down for the picture, so I wouldn't touch it with my hand. Bad idea?