In 1964, together with Luis Suárez, Amancio Amaro, José Ángel Iribar and his FC Barcelona teammate, Chus Pereda, he helped Spain win the European Championship.

During his ten seasons playing for the senior team at FC Barcelona, the club finished second four times in La Liga, but were never champions.

In the 1970–71 season, FC Barcelona narrowly missed out on winning La Liga, losing by a single point to Valencia CF.

With Valencia CF winning 2–0, Fusté, who had come on as a substitute, scored the first of four FC Barcelona goals that eventually led to a 4–3 victory in extra-time.

In 1972, after 197 La Liga games and 47 goals, Fusté left FC Barcelona and joined Hércules CF, then playing in the Segunda División.