An ostomy faceplate and its method of application are disclosed in which the faceplate comprises an annular adhesive wafer of soft, moisture-absorbent, memory-free, essentially non-elastic and finger-moldable adhesive skin barrier material, the wafer's distal surface having an outer zone terminating at the outer periphery of the wafer and an inner zone extending inwardly from the inner limits of the outer zone to a stoma-receiving opening at the inner periphery of the wafer. The faceplate also includes a flexible backing layer covering the outer zone and a removable cover member having a smooth surface releasably covering the proximal bodyside surface of the wafer. The distal surface of the inner zone has undulations defined by a plurality of concentric ridges and valleys with the ridges progressively diminishing in thickness, when measured by the distance between the distal and proximal surfaces at each ridge, as the series progresses inwardly from the maximum thickness of the wafer towards the stoma-receiving opening. The method of application includes both a preliminary molding step and a secondary molding step.