Non-thermal fixed points are out-of-equilibrium universal solutions arising in the evolution of quantum field theories towards a final equilibrium state. They have been experimentally detected in ultra-cold quantum gases, but are predicted also in highly energetic collisions of heavy ions and by inflationary models for the early universe, at very different energy scales. The theoretical description of these phenomena relies on different techniques, with the common feature to assume a low value of the coupling between fields. Up to now, there is no theoretical evidence of non-thermal fixed points arising at strong couplings, even though such a result can have important applications for the aforementioned phenomenology. The project aims at exploiting holography, a technique notably powerful for the study of strongly coupled field theories, to investigate how the notion of non-thermal fixed point can be generalised to strong couplings. The mathematical techniques required for achieving this goal come from the recent field of out-of-equilibrium holography: establishing a relation with non-thermal fixed points would bridge a first connection between two fields that, up to now, have evolved separately. Moreover, the techniques developed during the project find applications within holographic prescriptions for entanglement entropy: a second, natural outcome, then, is a deeper understanding of this concept, which plays a key role in ongoing research for a theory of quantum gravity.