lighting question

A client who absolutely, no questions asked; wants the final printed sheet to match a proof (Epson) when viewed in his office. The office uses fluorescent lighting (F11, F12 - don't know). According to the client it is being done by a printer. The client supplies the Epson proof to the printer; the printer prints and somehow the two are supposed to match each other when viewed together in the office. Does the printer make an internal proof based on the office lighting and prints to that ??? I can think of numerous scenarios; all of which seem to be a rather large pain. Mike Stewart