Over the last two decades, suburban studies have emerged from a call for a new conceptual order to go beyond the traditional dichotomies of the urban realm, namely, the centre‐periphery division. Such an approach distinguishes the city and suburbs as two separate entities, which hampers a better understanding of urbanization overall. Previously, studies of suburban areas have been interested in urban growth and regional development, albeit peripheral to the core themes of the research field. Yet a continuity of studies focusing on suburbs is appearing, and a proliferation of concepts has been produced to describe the diverse suburban forms according to specific features. Furthermore, suburbanization has now assumed a global dimension, as demonstrated by several recent studies and different new urban theories including “post‐metropolis,” “planetary urbanization,” and “polycentric metropolis.” This article aims at pursuing a “suburban debate” by providing an overview of the current state of research while pointing out the main frictions and unsolved issues of this proliferating discussion. First, conceptual frictions that travel worldwide are addressed and discussed. Then, contemporary issues and challenges regarding the governance of areas at the “urban edges” are highlighted as fundamental aspects to cope with while observing the socio‐spatial and socio‐economic polarizations that are occurring in the constant (sub)urban expansion, as recently addressed by several scholars.