Hi Shay,
at the beginning of March I opened an account there and add some cash. The Societe Generale Bank asked for the copy of my home registration, my passport, even my payroll from my company and said that they have to ask to the head office. I checked with Prava Banka and used only my passport and opened a deposit account and put some money. So, just pass by a Prava Banka office with your passport and it will take only 5 minutes to open it.
To avoid bla ck money laundry they can ask for additional documents if the amount is more than 15.000 Euros for each time. Also here the link of the deposit protection fund if you wish to have a look.
Kind regards,
Zelce