It has been speculated that his name was the second one recorded on a Senatus consultum that was passed in 112 BC; however, the name has been preserved only in fragments.
He replaced Lucius Calpurnius Piso Frugi, who had died while serving in Spain.
In 109 BC, Sulpicius Galba was elected consul along with Quintus (or Lucius) Hortensius.
Hortensius was replaced by Marcus Aurelius Scaurus, who took office with Sulpicius Galba on 1 January 108 BC.
[2] In 100 BC, Sulpicius Galba was one of the senators who organised the defense of the Republic against the armed rebellion launched by Plebeian Tribune Lucius Appuleius Saturninus.