The present invention relates to a non-invasive pulsatile circulatory assistance device encouraging the circulation of a volume of blood in a subject's body, wherein the device includes a flexible multilayer structure for applying against at least a portion of the subject's body, the structure having a flexible inner layer beside the subject's body and a more rigid outer layer; means for pulsating connected to the multilayer structure in such a manner that the assembly having the structure plus the pulsation means is leaktight, and wherein the pulsation means are adapted to create pulsations between the inner and outer layers by means of a fluid referred to as a “pulsation” fluid, each of the pulsations propagating progressively in the venous return direction along the portion of the subject's body when the structure is placed on the portion of the subject's body.