Abstract: The present invention refers to a system that is able to provide movement over three stable stages of a set of shelves of a refrigeration appliance. The said refrigeration appliance comprises at least one refrigeratable cabinet. The said set of shelves comprises at least one front shelf and one rear shelf associable to each other. The said set of shelves is associated to the refrigeratable cabinet by means of at least one side bar provided with a first accommodating portion and a second accommodating portion that are substantially flat. The front shelf is supportable by the first accommodating portion and the rear shelf is supportable by the second accommodating portion. The first accommodating portion has a difference in height in relation to the second accommodating portion as to allow an horizontally aligned juxtaposition between the front shelf and the rear shelf.