PurposeFollowing the United Kingdom's (UK) withdrawal from the European Union (EU), there is uncertainty in the financial services industry on equivalence of regulatory regimes. This also affects the insurance industry. As of now, it is not clear if the UK’s supervisory regime (“Solvency UK”) will be classified as equivalent to the European Solvency II supervisory regime. After no equivalence decision was taken during the Brexit transition period and there are efforts by the UK in the form of the UK Solvency II Review and the Financial Services and Markets Bill to adapt Solvency II more to the characteristics of the national insurance market, the uncertainties are intensified. Although Solvency II non-equivalence would have a significant impact on insurance groups operating in both the UK and the EU, there has been no detailed analysis of whether these initiatives could have an impact on a future Solvency II equivalence decision. The purpose of this paper is to address and close this research gap with a literature review and a subsequent equivalence mapping and discussion.Design/methodology/approachBased on the literature review methodology, this paper draws on academic sources as well as publications from governments and regulators, articles from consultancies and subject matter experts and uses this literature to provide an overview of the current state of research on equivalence in the wider financial services industry, but specifically on Solvency II equivalence, the UK Solvency II Review and the Financial Services and Markets Bill. Based on this literature review, the paper also forms the basis for an innovative and forward-looking Solvency II equivalence mapping and discussion.FindingsSeveral articles state that differences between Solvency II and Solvency UK could harm a future Solvency II equivalence decision. The UK Solvency II Review and the Financial Services and Markets Bill are two initiatives that support the objective of aligning the Solvency II supervisory regime more closely with the circumstances of the UK insurance market. Although both initiatives contribute to the fact that Solvency UK differs in parts from Solvency II, based on the literature review and the subsequent equivalence mapping and discussion, there are currently no reforms that should harm future Solvency II equivalence decisions.Originality/valueThis paper provides a previously non-existent overview of equivalence in the wider financial services industry, but specifically on Solvency II equivalence, the UK Solvency II Review and the Financial Services and Markets Bill, and brings them together in an innovative equivalence discussion. It thus presents the current state of knowledge on Solvency II after Brexit and develops it further around a mapping against the equivalence criteria. As non-equivalence could have significant implications for insurance groups operating in both the UK and the EU, this paper is a useful and practical study that provides a previously non-existent equivalence mapping and discussion based on current initiatives and publications. It thus closes the research gap identified and reduces uncertainties in the insurance industry and can be used as a blueprint for detailed and forward-looking equivalence mappings and discussions for the wider financial services industry.