Moved to Sweden from the US ~3 years ago. The most stable path is with an employer-sponsored work visa. Best bet is to interview at a multinational with a presence in Sweden (big companies are more likely to operate in English).
Next best option is to be in a stable relationship with a Swede.
It’s possible to get a visa running your own business, but the wait times for this are long and you need solid documentation that you’ll actually make enough to support yourself/your dependents.
Visas are also available for students and they’re experimenting with a visa for highly skilled job seekers, but these are a bit more limiting in terms of length and what you get access to.
Next best option is to be in a stable relationship with a Swede.
It’s possible to get a visa running your own business, but the wait times for this are long and you need solid documentation that you’ll actually make enough to support yourself/your dependents.
Visas are also available for students and they’re experimenting with a visa for highly skilled job seekers, but these are a bit more limiting in terms of length and what you get access to.