Abstract: The invention relates to a process for producing a component from an Al2O3/titanium aluminide composite material. To produce the component, a shaped body is pressed from a starting mix of titanium, in particular as an oxide, carbon and/or its precursors, fillers and binders. At a conversion temperature, the shaped body is subjected to a heat treatment in order to form a pressure-stable sacrificial body. In the process, the filler and, if appropriate, the binder is/are also removed by thermal means. The sacrificial body is filled with aluminum and/or an aluminum alloy under pressure. The filling takes place at a filling temperature which is above the conversion temperature. Then, the temperature is reduced to a transformation temperature, the materials of the filled sacrificial body and the aluminum reacting through a solid-state reaction, below the filling temperature, to form an Al2O3/titanium aluminide composite body.