A reflection on the present, its great transformations and epistemic challenges, served as starting point for the authors to consider the prominent place that social analyses confer to the “local-global” axis in the interpretation of contemporary phenomena. The interest by the local-global has brought up new metrics of time and space. It has also has enhanced the tendencies that homogenize and those that strengthen differences, which explains many of the transformations that the present societies experience. Based on this diagnosis, and in order to make the contemporary international/world-wide intelligible, the authors resort to the notion of global history, understood as the synchronization and the linking that registers the dissimilar historical trajectories, which enter in synchronicity, resonance and feedback in the context of globality.