In this paper, we focus on assisting the contextualisation of reused scenarios. The target public is instructional designers who aim to reuse existant learning scenarios, to contextualise them according to their learning context, and to execute them by means of a chosen learning management system (LMS). Most of the works in the literature focus more on the problem of reuse (for example, by proposing technology learning standards), and less on the problem of contextualisation. We propose, firstly, a process of contextualisation, based on a multi-scale conceptual framework, complemented by case studies, allowing a deep investigation of the contextualisation issue. Secondly, with respect to the proposed contextualisation process, we propose a design process based on a model driven architecture (MDA) approach for the contextualisation of reusable learning scenarios. Thirdly, we propose an approach supported by a tool for the technical contextualisation of learning scenarios, independent from any LMS, in order to define corresponding learning scenarios which are specific to the chosen LMS and that will ensure its execution. Finally, a case study is provided to prove the feasibility of our approach and the first results of the evaluation are given.