A non-religious funeral ceremony is one where it is free to decide how to arrange the funeral act. It can also contain religious elements. If you wish, E Nilssons can officiate at the funeral but a funeral officiant could be a relative, a colleague or another suitable person.
The Church of Sweden is obligated to grant the use of a suitable premises for all funerals regardless of religious community. Most common is to be referred to existing funeral or crematorium chapels.
There is nothing that prevents the funeral act being conducted outdoors, in the own home or other location, as long as it is practically possible.