Si, si possono passare i parametri al file incluso:
variables may be passed to the included file using a URL request string as used with HTTP GET. This is not strictly speaking the same thing as including the file and having it inherit the parent file's variable scope; the script is actually being run on the remote server and the result is then being included into the local script.
Potresti ovviare al problema utilizzando un'apposita variabile di sessione:
$_SESSION["PUN"] = 600;
include 'funzione.php';