Pot cumpăra o casă cu un permis de ședere (verblijfsvergunning)?

Yes, with a valid residence permit (verblijfsvergunning) you can buy and finance a home in the Netherlands. Lenders look at the type and remaining validity of your permit alongside your income and contract, and permanent or longer-term permits make financing more straightforward. EU and EEA citizens do not need a permit to buy or borrow.