Complex and challenging political problems and conflicts continue to pervade relations between Settler and Indigenous peoples. This thesis addresses these dynamics by developing an approach for analysing and advancing intercultural conflict resolution in the Australian Settler-Indigenous context. To do so, I foreground ethico-political questions of knowing across cultural difference, and elaborate an approach using the knowing subject as a key methodological resource. By conceiving and practicing selves as unfolding ensembles that can become different while continuing to be what they are, I demonstrate that knowers can connect with, and become susceptible and responsive to, cultural difference. In this approach my professional and personal experiences as a mediator with Aboriginal people become a resource for analysing and engaging relations of cultural governance. I show that conflict resolution subordinates non-Western cultures and selves to Christian-derived quasi-transcendental governance and knowledge schemes of the West. In addition, I demonstrate that this governance operates through liberal "freedom" and the (self-) constitution and regulation of participants in mediation. I nevertheless argue that possibilities for fissuring this governance lie with the susceptibility of selves and the interaction and exchange of political ontologies in mediation. I show that Aboriginal political ontology can work within and against the liberal Settler-Colonial order, potentially to advance Australian intercultural conflict resolution. This thesis therefore shows that asking after selves is promising for addressing the challenge of Settler-Indigenous relations in both knowledge production and conflict resolution.