Hi,
CD/DVD burning is almost out-of-fashion with USB memory sticks of similar and better capacity available. Still, unlike USB memory sticks the DVD has some history and uses as cheap semi-permanent storage media.
Given that a DVD gets "burned" using a laser writer one could ask if the same laser writer can be made to "print" the DVD label as well. Consider a DVD in the drive; after burning the disk one would turn the disk around and insert it again. Possibly with some form of adhesive colouring medium equal to the blue paper of the old days (for those who have been around a while).
The write head, instead of following the groove as it were, would then be positioned to writer by heatingup the adhesive and thus cause some sort of color transfer. One could think of the need of multiple consecutive bursts of heat to cause a solid transfer so to generate grey values or to sharpen the features of the print.
The colour transfer would seep into the top plastic, perhaps made specially absorbend in some form. Which would then cause a single color / black and white print label to be embedded in the CD/DVD for the lifetime of its use.