I received a call yesterday form BoA "to explain my card benefits." I explained that it was not a convenient time for me to take a call, and made an appointment to take the call later. When they called back, it was a different person (female 1st, male 2nd). I was not asked for *any* personal information. After the first two sentences (about points for spending and Amtrak travel), I indicated that none of this info was new to me, and he asked "Oh, so you read the information that came with the card?" I just said yes, NOT volunteering any other info (e.g. that I had been an AGR cardholder with Chase already). Then he simply asked if I had any questions about the card, and when I said no, he ended the call politely.
Both calls were identified by my caller ID as BoA. I do not think it was a scam. Haven't you ever received an automated message from a credit card fraud department asking you to identify if you "made certain charges to the car ending in -xxxx?" And, if you don't ask them to stop making marketing calls (as I had to), some banks will bother you every week just about dinner time to offer other financial products. Of course, they make unsolicited calls!