This article examines the ways in which non-EU countries can engage with, and respond to, EU policy-making processes. A novel analytical framework based on the concept of network resilience which consists of an institutional, political and policy dimension is operationalised to understand third country access to EU policy-making. Empirically, the article examines the experiences of three non-EU countries, Iceland, the Faroe Islands, and Norway in the context of the EU’s Common Fisheries Policy. The article concludes by presenting a research agenda based on an in-depth analysis of network resilience and reflects on what the findings mean for future research, particularly within the context of understanding the development of UK-EU post-Brexit relations.