He achieved La Liga figures of 256 games and goals in 11 seasons, with Athletic Bilbao, Barcelona, Valencia, Mallorca and Oviedo.
[2] Progressing through the youth system of Athletic Bilbao, he made his La Liga debut with the club on 17 September 1989 in a 2–0 win over RC Celta de Vigo,[3] and scored his first goal in the competition two months later to help the hosts to defeat Real Zaragoza by the same result.
[4] After strong performances in the 1993–94 season, he failed to reach an agreement for a renewal and signed for Johan Cruyff's FC Barcelona in a swap deal with Jon Andoni Goikoetxea.
[5][6] However, Eskurza only appeared in 19 competitive games in his one-year spell at the Camp Nou, mainly due to a serious adductor injury.
[7] In summer 1995 he joined Valencia CF on a four-year contract[8] but, two years into it, moved to fellow top-division side RCD Mallorca with whom he reached the final of the 1997–98 Copa del Rey, missing the last attempt in the 5–4 penalty shootout loss to Barcelona in Valencia.