In this article, we consider a non-autonomous diffuse interfacemodel for an isothermal incompressible two-phase flow in atwo-dimensional bounded domain. We assume that the external forceis singularly oscillating and depends on a small parameter $ \epsilon. $We prove the existence of the uniform global attractor $A^{\epsilon}. $Furthermore, using the method of [13] in the case of thetwo-dimensional Navier-Stokes systems, we study the convergence of$A^{\epsilon} $ as $ \epsilon $ goes to zero. Let us mention that thenonlinearity involved in the model considered in this article isslightly stronger than the one in the two-dimensional Navier-Stokessystem studied in [13].