Machine for transferring a preformed functional film (2; 102; 202) onto a curved face (7; 107; 207) of an ophthalmic substrate (3; 103; 203), comprising: - a first receiving device (23; 123; 223) configured to receive and hold said substrate in a first predetermined position; - a second receiving device (24; 124; 224), distinct from said first receiving device and configured to receive said preformed functional film in a second predetermined position; with said first receiving device and/or said second receiving device also being configured to hold said preformed functional film in its second predetermined position and to apply a predetermined pressure force to the entire perimeter of said functional film; - a first movement mechanism (25; 125; 225) for moving at least one of said first and second receiving devices, configured to place said curved face of said ophthalmic substrate facing said preformed functional film, with the respective geometric centers of the ophthalmic substrate and of said preformed functional film aligned; said machine being characterized in that it further comprises: - a second movement mechanism (26; 170; 270) for moving at least one of said first and second receiving devices, configured to bring the center of said preformed functional film into contact with the center of said curved face of said substrate and then apply said functional film to said ophthalmic substrate in such a way as to spread, radially from the center of said functional film to the periphery thereof, a conformal contact between said functional film and said curved face of said substrate; and - a command and control unit configured to control at least said second movement mechanism when said functional film and said ophthalmic substrate are in contact. - a first receiving device (23; 123; 223) configured to receive and hold said substrate in a first predetermined position; - a second receiving device (24; 124; 224), distinct from said first receiving device and configured to receive said preformed functional film in a second predetermined position; with said first receiving device and/or said second receiving device also being configured to hold said preformed functional film in its second predetermined position and to apply a predetermined pressure force to the entire perimeter of said functional film; - a first movement mechanism (25; 125; 225) for moving at least one of said first and second receiving devices, configured to place said curved face of said ophthalmic substrate facing said preformed functional film, with the respective geometric centers of the ophthalmic substrate and of said preformed functional film aligned; - a second movement mechanism (26; 170; 270) for moving at least one of said first and second receiving devices, configured to bring the center of said preformed functional film into contact with the center of said curved face of said substrate and then apply said functional film to said ophthalmic substrate in such a way as to spread, radially from the center of said functional film to the periphery thereof, a conformal contact between said functional film and said curved face of said substrate; and - a command and control unit configured to control at least said second movement mechanism when said functional film and said ophthalmic substrate are in contact.