In this talk, we investigate the weak solvability of an initial-boundary value problem known as the Navier-Stokes-Cahn-Hilliard system, which describes the dynamics of a homogeneous, incompressible and isothermal mixture of two immiscible Newtonian fluids flowing in a bounded 2D or 3D domain under stochastic perturbations. Under suitable abstract assumptions, we prove the existence of a global weak martingale solution as well as the pathwise uniqueness of a global strong solution in two dimensions. The approach that we introduce is novel compared to existing existence results in the literature, as we combine techniques from both Brzeźniak and Motyl and Mikulevicius and Rozovskii to overcome the non-linear coupled drift and stochastic gradient terms.