One time I received a box with five brand new game systems that I obviously didn't order. I called VISA and it looked like someone used my card to buy them but had them sent to me by accident or stupidity. VISA didn't charge me and they gave me info to call the store or dealer who made the sale. They gave me a UPS label to send them back. They were pretty upset about losing a big order. Another time Tiffany's in LA called me and asked if I purchased a $7,000 item. NO I didn't. The salesman said it seemed suspicious that a NY resident would buy this and have it sent to Texas. Luckly, he canceled the order and gave me the phone number of the customer. I had a cheap cell phone which couldn't identify me and I called and played along like I knew him, but he finally asked who I was. I told him "we're on to you" and he hung up. I used to travel occasionally for work and my card was compromised several times. The company gave us advances, so I only used my card for gas and restaurants or grocery stores. VISA was pretty good about these things and several times intercepted a payment and asked if the purchase was legit because my charges were all over the US and some in the UK and France. Also, my card was rejected a couple times and I called VISA and they thought the charge was suspicious so they let it go through after I confirmed it was me.
On edit: Someone may have tried a small order, as a test, to see if you noticed as some people pay the card without ever looking at the statements. If you didn't catch it they go for a big purchase.