Abstract: A molded plastic panel according to the invention has an integrated, localized elastomeric plastic pad or flexible-foam pad positioned between an aesthetic cover sheet such as vinyl and a rigid, structural plastic substrate. The cover material is sufficiently flexible to yield readily under the weight of a human hand, permitting a person to feel the soft pad underneath. On the other hand, the pad is resilient, but not so resilient that it pushes out against the cover material, forming an unsightly bulge that traces the outline of the pad. The present invention achieves both of these features, particularly in combination with a reaction injection-molded plastic substrate.