Credit Card Fraud

[Rubu]

Something quite weird has happened to me.

I had to sent a dental bill payment through mail. It never reached the destination, and someone stole the number from there.

I found out someone else was using my credit card within 48 hours from online credit card account and called to cancel the card.

Things was normal so far, until, two days latter an XBOX360 arrived at my address. Not knowing what it was, my wife accepted it. Only to find out later that it was one of the items brought using that card by someone else.

I called the CC company and told that I received one XBOX360. They told me to hold on to it for now and they will let me know.

Here is the question, since that XBOX360 was not the only thing brought from the particular website using my card (actually 3 of those was brought), why one was sent to me? I'm trying to find out the intention of sending me one. Was he/she trying to prove that I brought one for me and 2 other as gifts for other? Because companies sometimes checks the shipping address to see if it matches the card, I think by giving real address for one, the fraud was trying to defeat the purpose.

What should I do in case the CC company says that I brought the 3 units (costs about $1500)?