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Arce played as a forward and was known for his ability to handle the ball and heading skills. He started playing for Paraguayan side Sportivo Luqueño before moving to Italy to play for several teams until the end of his career. He died in 2000, in the city of Bracciano.
- 1948 - 1949: Sportivo Luqueño
- 1949 - 1951: Lazio
- 1951 - 1952: Napoli
- 1952 - 1953: Sampdoria
- 1953 - 1956: Novara
- 1956 - 1959: Torino F.C.
- 1959 - 1961: Palermo
- 1961 - 1962: Spal
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