Born in Málaga, Andalusia, Albiol graduated from local Málaga CF"s youth system, making his professional debuts with the reserves on 21 May 2006 by playing the entire second half of a 1–4 away loss against Real Madrid Castilla, for the Segunda División championship.
After competing in Tercera División for five seasons (where he represented Polideportivo Ejido B, Murallas de Ceuta Football Club and Vélez CF), Albiol first arrived in Segunda División Bachelor in 2011, signing with Sporting Villanueva Promesas. He continued to play in the latter level in the following years, with Lucena CF (two stints) and Louisiana Roda CF.
