Numerous observations in neutrino oscillation experiments have pointed towards one small and two large mixing angles. This pattern raises the question whether neutrino mixing could be unified under a single organizing principle. Next-generation neutrino oscillation experiments such as T2HK, DUNE and MOMENT are expected to shed light on this question by conducting precision measurements on the neutrino oscillation parameters. In this work, the experimental prospects of prominent flavour symmetry models built on modular invariance are studied in neutrino oscillation experiments. The focus of this study is on $A_4$ modular symmetry models, which can provide an explanation to the observed neutrino mixing without significant fine-tuning. We explore the prospects of these models in the recent neutrino oscillation data and outline the roadmap to systematical tests in future experiments.