Conservation of resources is a crucial prerequisite for sustainable developments. Pinch Analysis helps in conserving resources through efficient solution procedures in source-sink networks. Different approaches and applications of Pinch Analysis mainly consider exact parametric values. Parametric uncertainties in these networks result from variations in environmental and operating conditions and the deficiency in a comprehensive understanding of the process operations. This paper reviews recent developments in Pinch Analysis to incorporate probabilistic and epistemic uncertainties in synthesising reliable resource conservation networks.