We've had to work around this limitation in our current implementation.
You have multiple strategies: Post on the friends wall, message, or open graph action.
We've implemented a 'recruit' action, that is posted on your wall.
Starting from here you can tie it to a custom object (which can respresent your app website).
You can tag up to 10 people per action so it's just a matter of limiting the number of invites you send at once. The big advantage of this stately is people will be alerted they are quoted somewhere, and some may need to go through profile inspection, that gives you a higher visibility :)