 In 2016, KFÍ merged into Íþróttafélagið Vestri and became its basketball sub-division.On 16 December 2018, while playing in the second-tier 1. deild karla, it knocked out top-tier Haukar in the Final 16 of the Icelandic Cup.It was the only team outside the top-tier Úrvalsdeild to appear in the Final 8 of the cup.