We have used scanning tunneling microscopy to investigate the deposition of 1-decanethiol onto a bimolecular self-assembled network composed of PTCDI (perylene tetracarboxylic diimide) and melamine on a Au(111) surface. A new laterally organized phase in which the pores of a parallelogram bimolecular arrangement trap two decanethiol molecules is identified. Disruption of the hexagonal PTCDI-melamine network arrangement after decanethiol deposition is also observed, providing insights about the interplay between supramolecular and substrate-adsorbate interactions.