A method for forming superconducting connection structure between at least two superconducting wires is disclosed, where each wire includes at least one superconducting filament. An end piece of each superconducting wire may be positioned inside a cavity of a pressing tool. A contacting material including MgB2 and/or a precursor material for MgB2 may also be positioned inside the cavity. Pressure may be applied to the contacting material through the pressing tool, and the contacting material may be heated inside the cavity. Pressure and heat may be applied simultaneously, at least during part of the process. A superconducting connection structure including at least two superconducting wires, each wire including at least one superconducting filament, and a superconducting connection between the end pieces of the two wires is also disclosed. The connection may be formed of heated and compressed contacting material including MgB2.