Asymptotically Locally Flat (ALF) Ricci-flat metrics are expected to model certain long-time singularities in four-dimensional Ricci flow, so understanding their stability is essential. I will discuss that conformally Kähler, non-hyperkähler Ricci-flat ALF metrics are dynamically unstable under Ricci flow. Our work establishes three key tools for Ricci flow on ALF manifolds: a Fredholm theory for the Laplacian on ALF metrics, the preservation of the ALF structure along the flow, and an extension of Perelman’s λ-functional to ALF metrics. This is joint work with Tristan Ozuch.