The present article resumes a new preliminary literature review and academic approach regarding the concept of SEs (social enterprises), the new business model promoted since 2015 in the whole EU (European Union), that puts good and the environmental impact above profit. It is more than a classical corporate social responsibility approach, but a way of doing business by first taking care of the community. From a consumer behavioral point of view, combined with the messages and their impact through omnichannel marketing strategies, in order to rationally or emotionally influence and create awareness, regarding the consequences of the consumers buying behavior and its social or environmental impact, we have analyzed what are the strategies and the marketing words that could really have impact and can change the buying behavior. We have provided, as a first initial research proposal, a preliminary analysis regarding the most met words that are used by the SEs in their communication and marketing campaigns or promotional approach, especially in the online channels. Based on these, on the classical SEs business model and on the consumer behavioral theories, we have also proposed a conceptual framework regarding the societal and the marketing purpose of the SEs. This introductory proposal opens the possibilities for new research that could connect better the potential consumers of the goods and the services provided by the SEs and promote these as the model of the future businesses, that really have impact and can change the way we see the purpose of money and the consequences of our actions.