Several studies have been conducted to understand emulsions formation and stability. In some situations, it is desirable to have stable emulsions; in others, phase separation through drop coalescence is beneficial. In both cases, it is important to understand the mechanisms associated to the coalescence process. The present work investigates the relationship between rheological properties of oil-water interfaces and the drainage time of a thin oil film between two aqueous drops. Interfacial tension and dilatational rheology were measured using the axisymmetric drop shape analysis. We evaluated different concentrations of a nonionic surfactant (Span 80) dissolved in mineral oil (Primol 352) phase. The results indicate a direct relationship between the properties of the structure formed at the oil-water interface and the absence of droplet coalescence. For low surfactant concentrations, below the critical micelle concentration (CMC), the interface is weakly elastic (fluid-like) and the coalescence process always occurs; the draining time is not to related to the aging time of the interface. For surfactant concentrations above CMC, the elastic and viscous moduli showed significant changes with aging leading to the formation of a solid-like film at the interface preventing further coalescence. We used a drop/drop coalescence experiments to evaluate the effect of interfacial rheology on the coalescence dynamics. To better understand the phenomenon of non-coalescence, we study the structure of interfacial film microscopically and observe the appearance of small water droplets formed at the interface by spontaneous emulsification. We found that the emergence rate of these microdroplets is directly related to the surfactant concentration. As the surfactant concentration increases, faster the spontaneous emulsification process occurs, which confirms the results obtained with the interfacial rheology. Finally, a new method to promote emulsion destabilization by imposing a perturbation of the interfacial film by flowing the drops through constricted capillaries is proposed and tested.