In this article, we present the idea of a territorial peace and explore it in the context of Colombia. We locate our investigation in peace education, particularly in Colombia's Catedra de Paz, and explore the adaptations and application of the iPEACES programme (originally the iPEACE programme, developed by one of the authors with Bevington in 2017) as a possible way of contributing to sustaining the plurality of many peaces in this and other contexts. We outline the Innsbruck school's many peaces approach and Elicitive Conflict Mapping (ECM) framework in order to show how they contributed to developing the iPEACES programme -- which is responsive to territorial peace in the Colombian context. We end by presenting limited findings from four surveys with teachers in Colombia who attended a taster day for the iPEACES programme in 2018. We discuss their contributions and perspectives, and the ways in which we feel the iPEACES programme might be taken up more widely in schools in Colombia and elsewhere.