A device (1) includes a first web of soft material (5), a projecting structure integral with the web and including multiple discrete projecting elements. The projecting elements include pieces of foam (3) spaced apart form one another and integral with the first web (5). The pieces of foam are compressed between the first web (5) and a second web (7) of soft material, the two webs mutually adhering between the projecting elements. The device is useful for treating various types of edemas and excessive tissue infiltration, as well as for repairing sports injury.