Upvote:3
Puerto Rico is part of the US. From an immigration standpoint, a cruise trip from Florida to Puerto Rico is the same as a cruise from Florida to Texas. If the time before, during and after your Puerto Rico visit exceed your allowable admissions period then you have overstayed in the US. This will likely cause significant problems if you try to re-enter. If you are from a US visa waiver country, you must now apply for a visa for all future US trips. If you entered the US on a visa, that visa is now null and void and you must apply for a new US visa.