Media printed in a printer is fed in an integrated operation to a laminator to be at least partly laminated, the media between the printer and the laminator device forming a loose media buffer. Synchronization is provided between the advance of the media in the printer and in the laminator. This is done preferably using counting devices associated to the printer and the laminator, or buffer shape sensors, or control indicia on the media. The apparatus may perform a resetting operation of the media buffer.