Certain metal surfaces are often unable to be effectively contacted with fluids containing hydrofluoric acid due to significant corrosion issues. Titanium and titanium alloy surfaces represent but one example. Corrosion inhibitor compositions comprising boric acid and an N-(phosphonoalkyl)iminodiacetic acid or any salt thereof can be used to suppress metal corrosion, including that taking place on titanium and titanium alloy surfaces. Methods for suppressing corrosion of a metal surface can comprise: contacting a metal surface with a corrosive environment, the metal surface comprising titanium or a titanium alloy and the corrosive environment comprising hydrofluoric acid; introducing a corrosion inhibitor composition to the corrosive environment, the corrosion inhibitor composition comprising boric acid and an N-(phosphonoalkyl)iminodiacetic acid or any salt thereof; contacting the metal surface with the corrosion inhibitor composition; and allowing the corrosion inhibitor composition to suppress corrosion of the metal surface by the corrosive environment.