This paper deals with the sluggish Europeanisation efforts of the current political elites of Bosnia and Herzegovina. A typical explanation for the lack of progress would be the complex structure of consociational democracy of the specific Bosnian confederation. The authors, however, claim that the structural obstacles could have been bypassed given the real will of political elites of all three nations to cooperate. The authors examine the role of the structure of the peculiar political system in comparison with the influence of the agency of Bosnian elites on the integration process. The empirical analysis focuses on the situation after the general elections in 2018. The authors discuss the contrast between the official declarations of consistent support for a European future with the real political performance of the various Bosnian party elites. These elites often misuse the institutional settings of the political system to block reforms. They also prefer the politics of obstruction to cement their leading positions within their constituent nations. More than a quarter century after the Dayton Peace Treaty and adoption of the Constitution, the lack of genuine intrinsic motivation to pursue Europeanisation has remained the main reason for the reluctant rapprochement of Bosnia to the European Union.