The phrase "subsequent screen" refers to the next or following screen in a sequence or series. It is used to describe a screen that comes after the current or previous screen in a digital or visual display. Full definition
You will enter your payment details on subsequent screens. (animalemergency.net)
All Main Slate titles have an initial screening there, with subsequent screenings at various Lincoln Center venues, including the Walter Reade Theater (165 W. 65th St) and the Elinor Bunin Munroe Film Center (144 W. 65th St). (timeout.com)
Subsequent screening of the general population showed that the variant is widespread among blacks. (sciencemag.org)