A process and apparatus for brazing a metal alloy component, such as a superalloy component of a gas turbine engine. The process employs a plasma torch in a non-transferred arc mode to generate an electric arc between an electrode and a housing in which an orifice is defined. A plasma gas is flowed through the arc so as to ionize the plasma gas, and the resulting ionized plasma gas is discharged through the orifice to form a plasma jet. The plasma torch is configured so that the plasma jet is shrouded from a surrounding oxidizing atmosphere by a shielding gas flowing cocurrently with the plasma jet. A braze alloy material is introduced into the plasma jet, which is directed at a surface of the component to form a brazement that is metallurgically bonded to the component without melting the component.