The only answer I received about old API functions with the new Facebook API is to simply use the new PHP library to call the old api. Here is an example of such a call.
$fb->api(array( 'method' => 'events.invite', 'eid' => $event_id, 'uids' => $id_array, 'personal_message' => $message, ));
Hope that at least provides you with some direction. That would be where I would go if the new API does not support anything. Although I was also lucky to guess some calls with the new API and get what I need if it is very similar to what is documented in the new API.
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