In 2017, the team played in FIBA Europe Cup for the first time since 2008.

[2][3] In March 2023, the team was relegated to the second-tier 1. deild karla for the first time in its history.

[4] A year later, it finished first in 1. deild karla and gained promotion back to the Úrvalsdeild.

[5] KR has a men's reserve team that plays in the amateur level Icelandic 3rd-tier Division II[6] and the Icelandic basketball cup, called KR-b.

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