Anaemia and functional iron deficiency are common conditions in Multiple Myeloma (MM) patients, conditions which reduce significantly the quality of life and increase morbidity and mortality. Traditionally, Erythropoiesis Stimulating Agents (ESAs) have been used, but recently their use has been shown to have a negative impact on overall survival in different oncology populations. Recently published data suggest that intravenous (IV) iron can be effective in anaemia treatment, even without ESAs. This exploratory study is the first clinical project with ferric carboxymaltose (FCM) in patients with MM: the data generated may be used for further evaluations of the drug in larger populations. In this study, 1,000 mg of IV iron as FCM will be administered on the same day or within 24 hours before or after chemotherapy treatment. The primary objective is to evaluate the efficacy of FCM given without ESA, in the correction of haemoglobin levels in subjects with MM, undergoing chemotherapy. Secondary objectives aim to describe the safety and tolerability of FCM, and the effect of FCM treatment on iron status variables in MM subjects.