The purpose of is article is to analyze the territorial dimension of peacebuilding included in the Peace Agreement with the FARC-EP. After almost four years since its signing, the situation of violence against former guerrilla combatants and social leaders shows the difficulties of the Colombian State to transform the territorial dynamics of the conflict. As it will be shown, this violence, in addition, has a notable peripheral component; for it mainly happens in the Colombian departments of the Northeast, the Pacific region and the South and the Southwest. Specifically, there come together the largest presence of criminal structures, almost all the coca-growing area and pressing dynamics of structural violence and institutional weakness. All these factors will be mainly addressed through the data offered by government sources and complemented by analysis tools prepared by the authors.