A method of processing a superaustenitic stainless steel alloy, wherein the superaustenitic stainless steel alloy comprises less than 50 percent by weight iron based on total weight of the alloy, the method comprising: heating the superaustenitic stainless steel alloy to a temperature in a working temperature range, wherein the superaustenitic stainless steel alloy comprises in percent by weight based on total alloy weight: up to 0.2 carbon; up to 20 manganese; 0.1 to 1.0 silicon; 14.0 to 28.0 chromium; 15.0 to 38.0 nickel; 2.0 to 9.0 molybdenum; 0.1 to 3.0 copper; 0.08 to 0.9 nitrogen; 0.1 to 5.0 tungsten; 0.5 to 5.0 cobalt; up to 1.0 titanium; up to 0.05 boron; up to 0.05 phosphorus; up to 0.05 sulfur; and balance iron and incidental impurities, and wherein the working temperature range is from a solvus temperature of an intermetallic sigma-phase precipitate of the superaustenitic stainless steel alloy to a temperature below an incipient melting temperature of the superaustenitic stainless steel alloy; working the superaustenitic stainless steel alloy in the working temperature range; heating at least a surface region of the superaustenitic stainless steel alloy to a temperature in the working temperature range, wherein the temperature of the superaustenitic stainless steel alloy does not intersect a time-temperature transformation curve for the intermetallic sigma-phase precipitate of the superaustenitic stainless steel alloy during a time period from working the superaustenitic stainless steel alloy to heating at least the surface region; maintaining the surface region of the superaustenitic stainless steel alloy within the working temperature range for a period of time sufficient to recrystallize the surface region of the superaustenitic stainless steel alloy and to minimize grain growth in the superaustenitic stainless steel alloy; and cooling the superaustenitic stainless steel alloy at a cooling rate that minimizes grain growth in the superaustenitic stainless steel alloy. heating the superaustenitic stainless steel alloy to a temperature in a working temperature range, wherein the superaustenitic stainless steel alloy comprises in percent by weight based on total alloy weight: up to 0.2 carbon; up to 20 manganese; 0.1 to 1.0 silicon; 14.0 to 28.0 chromium; 15.0 to 38.0 nickel; 2.0 to 9.0 molybdenum; 0.1 to 3.0 copper; 0.08 to 0.9 nitrogen; 0.1 to 5.0 tungsten; 0.5 to 5.0 cobalt; up to 1.0 titanium; up to 0.05 boron; up to 0.05 phosphorus; up to 0.05 sulfur; and balance iron and incidental impurities, and wherein the working temperature range is from a solvus temperature of an intermetallic sigma-phase precipitate of the superaustenitic stainless steel alloy to a temperature below an incipient melting temperature of the superaustenitic stainless steel alloy; working the superaustenitic stainless steel alloy in the working temperature range; heating at least a surface region of the superaustenitic stainless steel alloy to a temperature in the working temperature range, wherein the temperature of the superaustenitic stainless steel alloy does not intersect a time-temperature transformation curve for the intermetallic sigma-phase precipitate of the superaustenitic stainless steel alloy during a time period from working the superaustenitic stainless steel alloy to heating at least the surface region; maintaining the surface region of the superaustenitic stainless steel alloy within the working temperature range for a period of time sufficient to recrystallize the surface region of the superaustenitic stainless steel alloy and to minimize grain growth in the superaustenitic stainless steel alloy; and cooling the superaustenitic stainless steel alloy at a cooling rate that minimizes grain growth in the superaustenitic stainless steel alloy.