The education of pleasant interpersonal relationships is one of the great challenges of modern physical education. Learning to live together sustainably is also learning to transform conflicts and the negative emotions elicited by them. The aim of this study was to determine the effect of the GIAM pedagogical model (of the Motor Action Research Group) through cooperation-opposition traditional sporting games with competition in the presence of motor conflicts (conflict transformation; relational well-being) and on emotional regulation (management of negative emotions; emotional well-being). Empirical research was carried out using an associative strategy (explanatory study) involving 222 secondary school students (Mage = 14.86; SD = 0.65). A seven-session pedagogical intervention was carried out based on a championship using the Marro (Prisoner’s Bar) game. The students answered two validated questionnaires of socio-emotional well-being, the Games and Emotions Scale (GES-II) and the Motor Conflict Questionnaire (MCQ), at three phases during the experience (beginning, middle, and end). The findings showed that, through the GIAM model, motor conflicts and the intensity of negative emotions were reduced. It was found that conflicts and negative emotions are part of the same phenomenon and that through an appropriate pedagogical program it is possible to turn them into experiences of socio-emotional well-being.