In mid-1920s he moved to Lwów where started playing in junior team of Pogoń. His debut in the national team took place on 10 July 1932 in Warsaw (Poland - Sweden 2-0). Altogether he played in 18 international games (including the 1936 Summer Olympics in Berlin), scoring 7 goals. In Pogoń, in 1935 he was the top-scorer of the Polish Football League, with 22 goals.
During World War II Matyas shortly played for FC Dynamo Kiev, after the war he returned to Poland. As Lwów was transferred to Ukraine, together with a group of Pogon’s players and activists, he settled in Bytom, where he played for Polonia Bytom. After finishing his career, he became a coach, in 1950-1952 he was in charge of the national team of Poland. Later, he coached such teams as Stal Mielec and Cracovia. He died on 22 October 1975 in Kraków.