Sensory adaptation and oculomotor inhibition of return (IOR) have been extensively modeled using a onedimensional dynamic neural field (DNF) model of the superior colliculus (SC). However, a great deal of paradigms are incapable of being simulated in a single dimension, limiting the generality of previous implementations. Here, we expand on previous work by implementing the inhibitory cueing mechanisms underlying IOR in a two-dimensional DNF. With such a model, we were able to reproduce the results reported in our previous work, validating the use of two-dimensional DNF models in future theoretical investigations. We discuss a number of new findings in the literature that should be simulated in two dimensions to further our understanding of inhibitory cueing mechanisms and saccade dynamics, such as the center of gravity effect of IOR.