This article describes the results and conclusions of a study developed by the Institute of Family Sciences of Los Andes University (Santiago de Chile), and Education Faculty of the National University of Distance Education (Spain), on the "Redefinition" technique used in conflict-resolution mediation as the basis to achieve agreement. This study analyzes the problem definition sequence unfolded by the parties involved in mediation, the problem-redefinitions articulated by mediators, and how this affects the process. The sample analysis indicates that it is the definitions of objectives done by the party and the redefinition of these done by the mediator that are more important than definition and redefinition of the problems. Focusing the mediation process on the objectives to be achieved rather than on the problems that caused the conflict would help to diminish an adverse climate, and strengthen the central role of the parties involved. Additionally, the research offers other possibilities in the use of techniques such as the incorporation of empowering, legitimation and recognition elements in the redefinitions, once they have been accepted by the parties involved. In this manner, a new field of research on mediation is opened as the study recognises a new technique of intervention used in the research process. This technique has been provisionally named "recognition anchorage", when the mediator repeats back verbatim to one participant what the other has just recognised or acknowledged.