Superwetting membranes or porous absorbent materials have recently attracted considerable interest from both commercial and academic communities due to their excellent performance for separation or selective absorption of organic compounds and oils from water, which shows great potential for addressing environmental issues. Herein, the first example of engineering a commercially available stainless-steel grid based on the assembly of graphene for the fabrication of superwetting mesh films (SMFs) is reported. An excellent surface wettability of the SMFs, which exhibit a unique adhesion force to liquids, is observed; this makes it possible to transfer small quantities of liquid samples to perform microsample analysis. A three-dimensional SMF shows unprecedented performance in the separation, transportation, and selective absorption of organic compounds or oils from water. The performance is considerably improved in comparison to traditional separation/absorption technologies and may useful for a wide range of applications such as purification, water treatment, or oil-spill cleanup.