Interocular grouping (IOG) is a binocular visual function that can arise during multi-stable perception. IOG perception was initiated using split-grating stimuli constructed from luminance (L), luminancemodulated noise (LM) and contrast-modulated noise (CM). In Experiment 1, three different visibility levels were used for L and LM (or first-order) stimuli, and compared to fixed-visibility CM (or secondorder) stimuli. Eight binocularly normal participants indicated whether they perceived full horizontal or vertical gratings, superimposition, or other (piecemeal and eye-of-origin) percepts. CM stimuli rarely generated full IOG, but predominantly generated superimposition. In Experiment 2, Levelt's modified laws were tested for IOG in nine participants. Split-gratings presented to each eye contained different visibility LM gratings, or LM and CM gratings. The results for the LM-vs-LM conditions mostly followed the predictions of Levelt's modified laws, whereas the results for the LM-vs-CM conditions did not. Counterintuitively, when high-visibility LM and low-visibility CM split-gratings were used, high-visibility LM components did not predominate IOG perception. Our findings suggest that higher proportions of superimposition during CM-vs-CM viewing are due to binocular combination, rather than mutual inhibition. It implies that IOG percepts are more likely to be mediated at an earlier monocular, rather than a binocular stage. Our previously proposed conceptual framework for conventional binocular rivalry, which includes asymmetric feedback, visual saliency, or a combination of both (Skerswetat et al. Sci Rep 8:14432, 2018), might also account for IOG. We speculate that opponency neurons might mediate coherent percepts when dissimilar information separately enters the eyes. The human visual system has evolved to combine monocular inputs into a coherent, fused, binocular percept if those inputs have similar physical properties. Significant physical differences between two monocular images can lead to exclusive visibility of one eye's input for a few seconds until that eye's input is suppressed, as the formerly suppressed eye's input takes over visual awareness. This phenomenon is known as binocular rivalry 2-5. Conventional binocular rivalry (CBR) is typically generated by presenting for example, a vertical grating to one eye and a horizontal grating to the other. Perception will begin to alter between an exclusive vertical and an exclusive horizontal grating. Traditionally, CBR is known for alternation between two exclusive percepts but in transition between these exclusivity states, CBR also consists of "mixed" percepts, namely piecemeal (i.e. exclusivity in smaller local spatial zones across the visual field 6) and superimposition (i.e. percept of completely overlapping rival stimuli 7. Superimposition has been thought to be indicative of binocular fusion 7,8 .