The participation of persons who are in a situation of disability and able-bodied persons in the same collective sporting activity is not a simple question. This article discusses reasons leading to the development of shared practices, in particular during a game with disabled and able-bodied persons, and obstacles hindering the success of this sharing. It also studies collective sports activities that deviate from the dominant uniformity of sports rules and logic with the aim of creating more equitable conditions of sports practice. Three examples of these sports activities distinguished by their degree of codification and institutionalization are examined. Their architecture, development as well as elements of success of an innovation are presented. The question arises as to the relevance and limits of these innovative practices.