Traditions are widespread across the animal realm. In comparison to material traditions, little is known about the existence of stable social traditions in non-human primates (NHP), especially in the wild. Here, we investigated inter-group variability of social dynamics in wild vervet monkeys (Chlorocebus pygerythrus). To do so, we assessed the individual propensity of being affiliative (i.e., sociality) along with grooming reciprocity at the group level. Our data set included nine years of ad libitium social data on three neighbouring groups of wild vervet monkeys from the Inkawu Vervet Project (IVP), South Africa. These groups shared a substantial part of their ecological and genetic environments, which excluded differences in ecology and/or genetics as the main cause of inter-group behavioural diversity. We analysed 84 704 behavioural interactions between 247 individuals using generalized-linear mixed models. We found that, in one group - Ankhase - individuals had a higher propensity to be affiliative and grooming interactions were more reciprocal. Despite yearly fluctuations in sociality, differences between groups remained stable over time. Moreover, our model predictions confirmed that these findings were maintained for similar sex ratios, age distributions and group sizes. Strikingly, our results suggested that dispersing males adapted their sociality to the sociality of the group they integrated. As a whole, our study sheds new light on the existence of stable social dynamics dependent upon group identity in wild vervet monkeys and suggests that at least part of this variability is socially mediated.