The present invention relates to a compound selected among the synthetic polysulphated oligosaccharides having 1 to 4 ose units and the salts and complexes thereof to be used for the treatment of wounds resulting in pathological scars selected among hypertrophic, retractile or atrophic scars. Said use is preferred in particular in patients that have a predisposition to developing hypertrophic, retractile or atrophic scars. According to a second aspect, the invention also relates to said compound for the use thereof in order to inhibit the differentiation of fibroblasts into myofibroblasts during the cicatrisation of wounds resulting in pathological scars selected among hypertrophic, retractile or atrophic scars.