This paper outlines a new systemic mediation approach, based on the idea that the most important thing for many participants in mediation is to have their moral reasoning understood and appreciated. This is frequently more important to people than financial reparation. We compare our mediation approach with others to demonstrate that many previous approaches share the assumption that once the interests of a participant have been identified, these should not be questioned. In contrast, our systemic mediation approach encourages participants to explore their own and other people's moral frameworks to enable critical reflection on their interests. Indeed, the concept of an 'interest' can be reframed as the boundary that a participant uses to delimit his or her concerns, and boundaries can be shifted in response to moral reasoning. Our mediation approach aims to generate both personal insights and improvements in mutual understanding. The mediator plays a facilitative role but cannot be neutral: the morality of the mediator unavoidably influences his or her facilitative interventions. Therefore, personal reflection by the mediator on his or her own moral framework is essential, so that its influences can be made visible and the facilitator can thereby be held accountable for them in dialogue with his or her peers. Tools are provided in our systemic mediation approach to support reflection on moral frameworks and boundaries of concern, and a practical example of their use in Colombian mediation practice is provided.