He arrived in Spain as coach of Hungaria, a team made up of refugees fleeing the various Communist regimes of Eastern Europe.
As well as Nicolae Simatoc–Kubala, the team also included Juan Zambudio Velasco, Antoni Ramallets and Joan Segarra.
En route to the final, they eliminated Porto and Honvéd before losing 6–5 on aggregate to Manchester United.
Inspired by Vavá and Enrique Collar, Atlético reached the semi-finals after beating Drumcondra FC, CSKA Sofia and Schalke 04.
He took over Real towards the end of the 1965–66 season, leading them to victory in the Copa del Generalísimo final when they beat Atlético Bilbao 2–0.
They also reached the Inter-Cities Fairs Cup final, but after beating Barcelona 1–0 in the home-leg, Real eventually lost 4–3 on aggregate.
In 1967, Daučík moved to Canada to coach the Toronto Falcons of the National Professional Soccer League.
[2] A book about him, "Útek na lavičku Barcelony" (Escape to the Bench of Barcelona), was published in 2017 by Slovak football writer Mojmír Staško.