Due to an international companies laziness to cancel an agreement i incurred overdrafts, they refunded everything but it. do i have a case?

I sent proof showing i cancelled on time but due to the companies laziness, i was charged three more times. I incurred overdrafts each time,costing me money. After trying to blame me i sent more proof that they messed up. I was refunded in all the monthly charges but not the overdraft fees. Do i have a case to get my money back and i wonder if this has happened to others?