We have a phone service called selective call rejection. We just add this number to the list of rejected numbers and they are no longer able to call us. Our phone doesn't even ring! The caller gets a message something like "The number you have called is not accepting calls." We love it and the pestering phone calls go away!
I have been getting 2 calls per day from these guys. They are "FIA Cardservices". I have never let them finish their pitch but they are selling some service (possibly identity theft protection, the pitch started with "there is nothing wrong with your card but") and they provided the last 4 digits of the card number. The card has a zero balance and hasn't been used for months. I told them to take me off their list (not politely), they said that it would take 30 days, so I then called the 800 number on the reverse of the Credit Card; they were apologetic and said that they would have the calls stopped immediately.