A re-transfer printing machine 60 uses an ink film 33 having a sublimation-ink area of sublimation inks Y, M, C and an invisible-ink area of an invisible ink UVS and an intermediate-transfer film 11 having a protecting layer 11c and an ink receptor layer 11d enabling the sublimation inks and the invisible ink to be received. The machine includes an overlap detecting part 76-5 for detecting whether a print image contains an overlapping between a sublimation-ink image 18 and an invisible-ink image 20 and a controller 6 for controlling a transfer operation corresponding to detection by the overlap detecting part. If the overlap detecting part detects that the print image contains the overlapping, the controller allows the machine to transfer the sublimation-ink and invisible-ink images to different areas in the receptor layer. If not, the controller allows the machine to transfer the sublimation-ink and invisible-ink images to an identical area 212 in the receptor layer.