Nowadays, social impact assessment (SIA) is a very important factor in determining the viability and integration of a mining project. In this study, we analyzed the social conflict that the Palma project would have on the extraction phase using the grey clustering method, based on the grey systems theory. The case study was conducted in the town of Antioquia and its surroundings, where the mining project is located. Two stakeholder groups (rural and urban population) and six evaluation criteria (regarding the perception of social impact of the mining project) were identified. The results showed that in the future the project would have, for the rural group of study, a normal social impact, in the same way it would have a neutral impact over the urban stakeholder group. By applying the percentage system certain criteria it has been proved to be more negative or positive than others within each stakeholder group through a numerical quantifiable evaluation provided by such system. These results could help to the company in charge of the Palma project and local authorities to make the best decision about future conflicts in the extraction phase.