As you're still officially married to someone else I very much doubt that the Swiss authorities would allow this under family reunification. For same-sex relationships they would want evidence of a long-term, committed relationship, ideally with a registered "marriage" document. Given that you have only split from your former partner a year ago I don't think they will consider your new relationship as a long-term one yet. This is from the bfm.admin link you gave:
"The relevant cantonal immigration authority will ask for documentation proving that the cohabitation relationship has already existed for some years,"
This also from the bfm.admin website:
10. Family reunification
Who may apply for family members to join them and reside in Switzerland?
- Spouses
- Children or grandchildren who are under 21 years of age or who financially depend on the petitioner
- Parent(s) and grandparent(s), provided that they financially depend on the petitioner
http://www.bfm.admin.ch/content/bfm/...25.html#a_0025
Without an official "marriage" document, they will not consider your partner to be your spouse unless you can provide other documentation like joint-named rental agreements, bank statements, etc, to show that the relationship has been in existence for several years.