Method of continuously casting metal strip from a casting pool of molten metal supported on chilled casting rolls such that metal solidifies onto moving casting surfaces of the rolls. The metal is austenitic stainless steel containing chromium and nickel in a ratio (Cr/Ni).sub.eq of less than 1.60 and the casting surface of each roll has an Arithmetical Mean Roughness Value (R.sub.a) of more than 2.5 microns. The heat transferring from the austenitic stainless steel solidifying on the textured surface of the moving casting surface to the casting surface at an initial peak heat transfer rate is more than 15 MW/m within the initial 20 ms of contact.