A component for securing attachment of a medical device, such as a wound dressing or an ostomy bag is disclosed, to the skin of a patient, said component including a first plastic film coated with a skin-friendly adhesive on the lower side thereof. According to the invention a body of soft, compressible and elastic material is disposed between the first plastic film and a second plastic film, said first and second films extending beyond the compressible body around the circumference thereof and are affixed to each other in parts extending around the circumference of the compressible body so that a closed space containing said compressible body is formed, said closed space being in contact with the surrounding atmosphere by a non-return valve, and in that the first plastic film includes through-going openings in a region delimited by the compressible body.