[1] Born in Soraluze-Placencia de las Armas, Gipuzkoa, Basque Country, Albisua was a SD Eibar youth graduate.
Alibsua made his first team debut on 27 November 2011, starting in a 2–1 home win against Gimnástica de Torrelavega in the Segunda División B championship.
[6] Despite being deemed surplus to requirements during the 2017 summer transfer window, Albisua was registered with the main squad and made his professional debut on 27 January 2018, coming on as a second-half substitute for Abel Gómez in a 1–5 Segunda División away loss against Rayo Vallecano.
On 12 November 2018, Albisua signed for Unionistas de Salamanca CF in the third tier, as a replacement for injured Pau Cendrós.
[10] After establishing himself as a regular starter, he moved to Primera División RFEF side SD Logroñés on 21 June of the following year.