We have seen these more frequently in the past year as well. We have found the best we can do is ask questions, try to help point out the holes in the stories, and provide resources describing these types of scams from the internet. In some cases, we have been able to search and find the exact form e-mails posted on scam sites, or even pictures of the customer's online love, listed on other sites with other names.
In the end, we're fairly successful, but it doesn't work all the time. We have refused to do the wires in some cases, but that generally just sends them to a Western Union or somewhere else to send it. It stinks. If the romance scam is military based, I've run across some options out there to report them or try to validate the supposed military member's identity which can help prove to your customer that it's a scam.
Our biggest problem has been people that are not only roped into these scams, but end up functioning as a money mule. They get funds into their account via ACH that were stolen from another account, then take them out and wire them off. We've had some decent sized losses when the ACH is pulled back as fraud. That's been the real wake-up call from some of our people, when they find out they owe us some big $$. (these are in the cases of ACH transfers that our customers initiate and pull from another financial) Enhanced monitoring of these activities, and a tightening of controls has helped stabilize that problem significantly, and while we continue to experience these problems, we've been able to detect and stop most of them in the recent past.
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Someone's about to get horned!