In this talk, I will assess the current status of the Strong Cosmic Censorship (SCC) Conjecture in the context of black hole spacetimes with a positive cosmological constant. After a brief overview of the origins and formulations of SCC, I will address the significant impact that introducing a cosmological term has on the conjecture. Notably, in this case, the validity of SCC is intricately linked to the precise decay rates of perturbations in the exterior region. Additionally, I will present a set of results suggesting the potential failure of SCC, in certain near-extremal regimes, and will discuss proposals aimed at preserving the conjecture.

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