As part of financial market infrastructures, central counterparties (CCPs) have long been deemed systemically important and are likely to gain in importance due to the regulatory developments mandating central clearing for an increasing number of financial products. This paper focuses on the regulation as well as the recovery and resolution of CCPs in Europe. The existing CCP regulatory framework consists of ex-ante measures, including, among others, capital and liquidity requirements, initial and variation margins, and loss sharing mechanisms. In addition, the European proposal for the recovery and resolution of CCPs (the Proposal) contains several ex-post regulatory measures mainly in the form of rules for recovery and orderly resolution. Having studied the prudential regulatory measures for CCPs contained in the European Market Infrastructure Regulation and the ex-post recovery and resolution measures of the Proposal, this paper puts a spotlight on the specific shortcomings of the existing and proposed rules, in particular in terms of misaligned incentives, externalities, collective action problems, and certain practical impediments, and concludes that it would be misguided to inordinately rely on ex-post measures. Highlighting the limitations of the recovery and resolution mechanisms, this paper proposes that given the systemic importance of CCP functions, it is critical to improve the ex-ante measures whose objective is to prevent the failure of a CCP, rather than ex-post measures, which kick in after its failure. Accordingly, recommendations for making such improvements are proposed.