I think they generously gave me a credit limit of 0 EUR, not even sure. It’s very low in any case. My “solution” for that has been to stash much more into the DKB account than I need 99% of the time, just to have a decent credit limit when I need it. I forgot last Christmas and had to scramble a TransferWise transaction so I could use the card at the hotel. That’s a big reason I want to simplify, I don’t want to check and top-up too many accounts I barely use.
If you want a full EUR credit card you could also check out N26 and maybe Comdirect. N26 accepts Swiss residents for sure, Comdirect I don’t know. They all should be free, but the precise conditions differ, also for non-EUR things, should that interest you as well. DKB wants 700 EUR income per month to unlock the full benefits, like free cash withdrawals.