Career
Stromšík obtained a total number of four caps for his native country, between 24 September 1980 and 24 June 1982. Stromšík played in his country for several clubs, gaining the biggest success at Dukla Prague. After finishing his active career, he began with football coaching.
He coached in the Czechoslovakian Republic, Slovakia, Malaysia, Kuwait,India and other countries.
In Malaysia, Stromsik played for Selangor FA in the highest league of the country. He was regarded as the best goalkeeper the team ever had, after the late R Arumugam (Malaysian).
Stromsik was often poached by other teams during his stint in Malaysia, but he remained a Red Giant throughout his Malaysian tour.