Since you're both in the SEPA (Single Euro Payments) area, you can make a SEPA bank transfer in €€€ using the other person's IBAN/BIC codes and possibly address (my bank requires it, I'm not sure if this is universal). The only way to find out about possible fees is to ask the bank (I say possible since in my bank SEPA payments are free). Also, the recipient's bank may charge them for conversion to SEK.