Born in Laredo, Cantabria, Amavisca (whose father Emilio was also a footballer) made his professional breakthrough with Real Valladolid, achieving promotion from Segunda División in 1992–93, also serving a spell on loan to UE Lleida in the same level. In the summer of 1994 he signed for La Liga giants Real Madrid, initially being deemed surplus to requirements but going on to score ten league goals in his debut season, mostly playing second striker to Iván Zamorano – both were initially seen as third or fourth-string attacking references by manager Jorge Valdano, as the club ended a four-year domestic title drought.