Myotonic Dystrophy Type 1, or Steinert’s Myotonic Dystrophy, is a rare RNA-mediated autosomal dominant disease. Here we describe two clinical cases of patients with Steinert’s disease who underwent laparoscopic cholecystectomy under general anaesthesia in conjunction with thoracic peridural anaesthesia, without muscle relaxants. Using such an anaesthesiological technique allowed for rapid recovery from anaesthesia, quick and complete recovery of autonomous breathing, and a significant haemodynamic and arterial blood gases stability, as well as an adequate and complete analgesic coverage over the entire perioperative period.