Wanyama became the first ever Kenyan player to score in the UEFA Champions League when he scored the first goal in Celtic's 2–1 win over Barcelona on 7 November 2012.
Wanyama amekuwa mchezaji wa kwanza wa Kenya kufunga bao katika Ligi ya Mabingwa ya UEFA alipofunga bao la kwanza katika ushindi wa 2-1 wa Celtic dhidi ya Barcelona mnamo 7 Novemba 2012.