In 2012 it changed its name to Körfuknattleiksfélag FSu (English: FSu Basket) and on April 5, 2018, the club changed its name again to Körfuknattleiksfélag Selfoss (English: Selfoss Basketball Club), or Selfoss-Karfa (English: Selfoss-Basket) for short.

[7] During the 2015–16 Úrvalsdeild karla season they posted a 3-19 record, finishing second-to-last in the league and were relegated back to 1.

[8] In February 2021, the team made an affiliation deal with Real Betis.

[9] Note: Flags indicate national team eligibility at FIBA-sanctioned events.

To appear in this section a player must have either: The club fielded a joint women's team with neighbouring club Hrunamenn in the second-tier 1. deild kvenna, under the name FSu/Hrunamenn, from 2013[15] to 2015.