Hi you can set up to recieve an email of your lastest bill on the Aydem website and then you can make the payment from your Turkish bank which I have recently done and it is quite easy.
You will need the Abone number which you can find on the last bill along with the meter number which is also on the bill.
There is a recent thread on CBF that explains quite well the process but I have not been able to find the link for it.
This is what you get by email to make the payment and when you access your bank and select Aydem payment they know what you owe
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TeeTee
Değerli Müşterimiz,
1 adet fatura karşılığı toplam
26,80 TL borcunuz bulunmaktadır.
Tesisat No 72--145
Fatura No G/510--007
Son Ödeme Tarihi 06.06.2014
Borç 26,80 TL