Qualified on three occasions, it advanced to the second round in 1976, beating fellow amateur side VfR Laboe 9–0.

With the outbreak of the Second World War, the senior team had to be withdrawn but a junior side was still successful in 1940, winning a local championship.

In this era, the club's youth teams were more successful, earning to runners-up finishes in the Schwaben championship.

[1] In its first season there, the team finished in twelfth place, nine points clear of a relegation rank.

[2] For the duration of its league membership, the club finished in the lower half of the table, but nevertheless survived there for eight seasons.

[3] In 1976, the team reached the final of the Schwaben Cup for the first time, losing 3–2 to FC Memmingen.

[1] The club returned to the Schwaben Cup final in 1978, where it lost to SSV Glött on penalties.

In four seasons there, it could not break into the upper half of the table and was relegated back to the Bezirksliga in 2003, where it still plays as of today.

SVO has three senior teams in the Schwaben football league system, one in the Kreisliga Alläu Mitte, one in the Kreisklasse and a third in the B-Klasse.