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The answer to the question you asked is no, Barclays is no longer doing APR reductions at this time.
See the link below which leads to a recent discussion about it.
Barclays no longer does APR Reduction
How much debt are you talking about? What are your current cards? Scores? INQ's?
@pi-r-squared wrote:
It’s more that I want to be able to use my available $3800 to move high interest debt to Barclays. Just wondering if calling them up and asking for an offer would work?
You will need to get to retention and ask for an offer.