The present invention relates to a non-invasive pulsatile circulatory assistance device which promotes the circulation of a subject in the body of the subject. The present invention has a flexible multilayer structure for said portion of said structure (102); and .cndot. The structure of the structure of the structure is characterized by the structure of the structure and the structure of the device. The term "pulsation" refers to each of said pulsations propagating progressively in the direction of the said portion of said subject.The present invention relates to a non-invasivepulsatile circulatory assistance device encouraging thecirculation of a volume of blood in a subject's body, thedevice being characterized in that it comprises:.cndot. a flexible multilayer structure for applyingagainst at least a portion of said subject's body, saidstructure comprising a flexible inner layer (102) besidesaid subject's body and a more rigid outer layer (104);and.cndot. means for pulsating connected to said multilayerstructure in such a manner that the assembly comprisingthe structure plus the pulsation means is leaktight,the device being characterized in that saidpulsation means are adapted to create pulsations betweensaid inner and outer layers by means of a fluid referredto as a "pulsation" fluid, each of said pulsationspropagating progressively in the venous return directionalong said portion of said subject's body when saidstructure is placed on said portion of said subject'sbody.