A spokesman for the National Crime Agency has said that the best advice is not to open any attachments in emails that appear to be from your bank.
If you are in any doubt at all, call your bank to ask whether they sent the email.
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Fears have been raised about the safety of the structure after the blaze last Friday night.
The Home Office said the two Labour MPs signed up for alerts intended for EU citizens.
The comments are the latest twist in the row between the US and EU countries including Britain over trade tariffs.