Game Center friend recommendations?

In Game Center, the "Friends" page does not show any recommendations, even though I just linked it to my Facebook account. I'd like to be able to use my contacts to find my friends on Game Center, but it seems you have to do that from the "Recommendations" page, which I can't access since it's not recommending anyone. Thoughts?

I'm not interested in spamming my friends with requests when I don't know which of them are currently using Game Center at all.