Abstract: Process for producing a drawn wire, in particular a wire for reinforcing tires, having a diameter of less than 0.3 mm by drawing a base wire rod having a diameter of greater than 5 mm or a predrawn base wire made of steel with the following composition by weight: carbon≦40×10−3% nitrogen≦40×10−3%, the carbon and nitrogen satisfying the relationship C+N≦50×10−3%, 0.2%≦silicon≦1.0%, 0.2%≦manganese≦5%, 9%≦nickel≦12%, 15%≦chromium≦20%, 1.5%≦copper≦4%, sulfur≦10×10−3%, phosphorus<0.050%, 40×10−4%≦total oxygen≦120×10−4%, 0.1×10−4%≦aluminum≦20×10−4%, magnesium≦5×10−4%, 0.