Although recent studies have recognised that sustainability and resilience should be considered part of the same efforts in the context of a transformative perspective, research combining both constructs is still scarce. This study adopts a comprehensive perspective that acknowledges that maintaining business continuity (through persisting, adapting or transforming), to reduce long-term risks is a common aspect of sustainability and resilience. It aims to identify strategies to be applied by companies and SCs in order to increase their social, environmental and economic sustainability, as well as their ability to be ready, respond and recover from unexpected events. Considering that the actions and strategies to deal with sustainability and resilience can be different and eventually paradoxical, this work applies the organizational ambidexterity approach as a theoretical background.