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A mixture of hard-sphere particles and model emulsion droplets is studiedwith a Brownian dynamics simulation. We find that the addition of nonwettingemulsion droplets to a suspension of pure hard spheres can lead to bothgas-liquid and fluid-solid phase separations. Furthermore, we find a stablefluid of hard-sphere clusters. The stability is due to the saturation of theattraction that occurs when the surface of the droplets is completely coveredwith colloidal particles. At larger emulsion droplet densities a percolationtransition is observed. The resulting networks of colloidal particles showdynamical and mechanical properties typical of a colloidal gel. The results ofthe model are in good qualitative agreement with recent experimental findings[E. Koos and N. Willenbacher, Science 331, 897 (2011)] in a mixture ofcolloidal particles and two immiscible fluids.

Clustering and gelation of hard spheres induced by the Pickering effect