Bank of America's Global ATM Alliance withdrawals that don't involve the Bank of America withdrawal fee are drawn from the following banks:
* Barclays (United Kingdom)
* BNP Paribas (France)
* China Construction Bank (China)
* Deutsche Bank (Germany)
* Santander Serfin (Mexico)
* Scotiabank (Canada)
* Westpac (Australia and New Zealand)
I have seen none of those banks having flagged retail banking operations or their own ATMs publicly accessible in Stockholm. Even if there were any, the withdrawal fee exemption might not apply were Bank of America to limit the benefit to only withdrawals at those banks in the country/countries specified alongside the named banks above.
Perhaps if I get time in a day or two, I'll have someone see if any of those banks are even licensed to have their own ATM machines operating in Sweden. I wouldn't be surprised if they were not allowed.