Pollution by heavy metals is at present one of the major environmental concerns. In the present study, the potential of the filamentous zygomycete fungus Rhizopus sp. to absorb/adsorb metal ions from solution was investigated. With the aim to develop a feasible process, the fungus was immobilized on 10 different textile materials during the cultivation. All immobilized biosorbents reduced the Cu2+ concentrations initially from 20 to 3.1–5.6 mg/l within 150 min, with the exception of the biomass immobilized on wool, which reduced the Cu2+ level to 10.2 mg/l. The immobilized biomass (with the exception of wool) fitted well into a pseudo-second-order model. The uptake of copper showed a slight dependence on initial metal concentration. By reapplying immobilized Rhizopus sp. to a solution containing a low concentration of Cu2+ after going through a first step of biosorption, a decrease of the concentration to below 2 mg/l was accomplished, meeting the stipulated level for Cu2+ in human drinking water. Immobilization of fungal biomass in a cushion was also successfully applied in the biosorption process. The positive results obtained in a two-step biosorption indicate that a sequential arrangement could be the foundation for a commercial product.