The simultaneous cooperation and competition between companies referred to as coopetition in the strategy literature is becoming a recurring theme in the business settings. Companies cooperate with their competitors to gain access to supplementary and complementary resources and capabilities in order to create more value for the customers in order to achieve sustainable value creation and distribution. To coopete, the companies need to be interoperable. Growing globalization, competitiveness and rising environmental awareness are driving many companies to prepare and control their interoperability strategy in order to enhance their ability to interoperate. In this paper, we use an interoperability model called the Maturity Model for Enterprise Interoperability (MMEI) to the coopetition context and we present some initial thoughts on the use of this maturity model in the coopetition context.