This work focuses on the sharing of experiences between learners with different profiles. This is to allow learners with different skills, abilities or preferences to exchange, among themselves, the traces of their own activities. In this context, we are particularly interested in the transformation process that adapts the shared traces according to the profile of its target user. In this article, we propose models for representing trace, user profile and adaptation knowledge. In order to bring flexibility and adaptability to our approach, we propose a model of knowledge extraction from a Trace-Based Management System, which contains the activity traces of several users. The results of applying our approach to an e-learning training are also presented.