In recent years, crises have become increasingly transboundary in nature. This exploratory paper investigates whether and how the transboundary dimensions of crises such as pandemics, cyber attacks and prolonged critical infrastructure failure accentuate the challenges that public and private authorities confront in the face of urgent threats. We explore the transboundary dimensions of crises and disasters, discuss how an increase in ‘transboundedness’ affects traditional crisis management challenges and investigate what administrative mechanisms are needed to deal with these compounded challenges. Building on lessons learned from past crises and disasters, our goal is to stimulate a discussion among crisis management scholars about the political‐administrative capabilities required to deal with ‘transboundary’ crises.