The invention relates to a tube set for a blood handling apparatus, in particular an extracorporeal blood handling apparatus with an extracorporeal blood circuit or an apparatus for peritoneal dialysis. In addition, the invention relates to a blood handling apparatus that has such a tube set. The tube set (1) according to the invention is distinguished by a device (6) for collecting particles, which is provided in a tube line portion (3D) of the tube line (3) of the tube set that lies downstream of the tube portion (3C) to be placed into the occluding hose pump. The device (6) for collecting particles prevents retention of solid substances that are possibly contained in the dialysis fluid, the substituate or the peritoneal solution. The tube set according to the invention also has a device (8) for limiting the pressure in the tube line portion (3E), which lies between the tube portion (3C) to be placed into the occluding hose pump and the device (6) for collecting particles. The device for limiting the positive pressure prevents an excessive positive pressure from building up in the tube line when the flow of fluid through the device for collecting particles is reduced or interrupted.