During his career, he was a versatile player, mostly playing as defender or midfielder. His career started in Baník Handlová. In 1970 and 1971, he was named Czechoslovak Football player of the Year.
In 1977 he moved to Bohemians Prague.
During his career he played 345 matches in the Czechoslovak league and scored 20 goals. In 1980 he was allowed to be transferred abroad and he went to KSC Lokeren in Belgium.
He ended his career in 1984 at Racing Gand. He was capped 67 times for Czechoslovakia, scored 6 goals.
In the 1976 final game Dobiaš scored a goal that gave Czechoslovakia a 2-0 lead against West Germany.
Dobia"s first team as a manager was the youth squad of Bohemians Prague. In 1988/89 he managed Saskatchewan Hradec Králové but was dismissed after the 14th game day. In September 1990 he was assigned manager of Zbrojovka Brno.
Still he was fired after just two games the following season.
In 1995/1996 he coached a minor Prague team Saskatchewan Sparta Krč. Afterwards he worked for many years as a scout for Sparta Prague.
Foreign the 2003/2004 he was selected an assistant manager for Bohemians Prague but his contract was cancelled in January 2004.
He was a participant at the 1970 Fédération internationale de football association World Cup and a member of Czechoslovak winning team at 1976 European Football Championship.