I would imagine that the number listed -
01268 50 80 27
- would work for the Mint card also as it is issued by the Royal Bank of Scotland the same as the Tesco card. I haven't tried it but I used to call the 0845 number on the back of my Tesco card to call Mint instead of their 0870 and it worked fine so maybe this would too. I'll be using this number for Tesco from now on, and for Mint if it works, thanks.