The invention relates to a contact arrangement for a fuel cell stack, especially for an SOFC fuel cell stack, comprising an interconnector arrangement which is arranged to establish an electrically conducting connection via at least one contact element on the anode side and at least one such element on the cathode side between an anode of a first membrane electrode assembly and a cathode of a second membrane electrode assembly. The invention is characterized in that at least one component to be sintered is provided on only one side of the interconnector arrangement, on the side of the interconnector arrangement facing the anode or the one facing the cathode, the component being coupled to the first or second membrane electrode assembly in such a manner that the electrically conducting connection can be established via the contact element on the anode side or via that on the cathode side by sintering the component to be sintered. The invention also relates to a method for assembling a fuel cell stack form at least one such contact arrangement. The invention further relates to a fuel cell stack, especially an SOFC fuel cell stack, comprising said contact arrangement, the fuel cell stack preferably being assembled according to the aforementioned method.