The present invention relates to the biomedical sector and, more specifically, to the processes of disinfection, and preferably of sterilization, of medical instruments. In detail the invention relates to a case (1) for the sterilization and conservation of thermolabile endoscopes adapted to be used, in cooperation with an automatic machine, in a process of washing and sterilizing one of said endoscopes comprising a plurality of channels, where said case (1) comprises: - a first shell ( 10) and a second shell (20); - reversible fastening means between said first (10) and second (20) shell; - a plurality of connectors (2) lor the channels of said endoscope, adapted to allow ihe injection of process liquids and/or gas into said channels; - an inlet connector (3) and an outlet connector (4), adapted to allow the injection and discharge of process liquids and/or gas into and out of said case (1); - a handle (5) and supporting feet. Said first (10) and said second (20) shell reproduce in the plan view a shape with a substantially circular overlapping edge, and the surface of said first (10) and said second (20) shell comprises a convex portion (10a, 20a) placed In the proximity of said edge and a concave portion (10b, 20b) in the central zone, where said portions (10a, 10b, 20a, 20b) are connected to one another With a curved profile, free of corners.