Moving towards more sustainable operations is a challenging goal for industries. The growth of interest in corporate sustainability performance has brought attention to the importance of accounting and transparency across economic, environmental and social dimensions. This paper provides an explorative study addressing sustainability from the perspective of industrial firms. The paper presents case studies on the application of the Triple Layered Business Model Canvas, which allows for relevant insight into how firms account for economic, environmental and social values. The findings show that while accounting for economic values is well taken care of, accounting for environmental values are at an initial stage, and accounting for social values are virtually lacking. Thus, the ability for the industrial firms to conduct a sustainability assessment is limited. The opportunities lie in the adaptation of digital technologies providing cost efficient feedback mechanisms for environmental and social values. This can support environmental and social accounting, giving industrial managers a decision management tool to guide their transition towards more sustainable operations, and aligning company goals with the UN Sustainable Development.