Since the concept establishment of education for sustainable development, many higher education institutions are challenged to change their curriculum from a profit maximization to a triple bottom line paradigm. This paper aims to discuss the different strategies that universities adopt to encompass sustainable development into business curriculum. This analysis will provide key elements for a theoretical framework building. Considering the Six Principles for a Responsible Management Education proposed by the United Nations Global Compact, a comparative case study is designed with two Brazilian universities: PUCPR and IMED. In-depth interviews, direct observation and formal documents were used, and data analysis were performed through content analysis. Results show that in business schools, ″sustainability″ still has some weaknesses in relation to the understanding about the synergy of management and sustainability. In sum, this work analyzes the dimensions of management education focused on sustainability; provides a broad understanding of the main drivers for a sustainable perspective adoption; and offers significant insights for universities to perform sustainability in a holistic way. Our theoretical framework may guide future studies by understanding connections between dimensions and components of management education, from a sustainable perspective.