The present invention relates to an enhanced adhesive bandage sandwich (FIG. 1) for compressing blood vessels and a kit for assembling said bandage sandwich. Moreover, the invention relates to a bandage or kit for use as a medicament, particularly, for use in treating varicose veins. The invention also relates to the use of a bandage sandwich or kit for compressing veins or arteries and a method to produce said bandage sandwich. Furthermore, the invention relates to a bandage sandwich obtainable by the inventive method.