Competitiveness and growth on an international market is for many businesses tightly coupled to their ability of quickly implementing new company strategies, business services and products or market entries. Capability management is among the approaches proposed to tackle these challenges. A feature is capturing the context of capability delivery and providing mechanisms for configuring the delivery. Among the work on capability management is the capability-driven design and delivery (CDD) approach that has been proposed by the EU-FP7 project CaaS. The aim of this paper is to contribute to CDD by (i) introducing different strategies for capability modelling, (ii) elaborating on the differences between these strategies, and (iii) contributing to an understanding of what strategy should be used under what preconditions. The paper addresses these aspects by describing the strategies and initial experiences gathered with them.