In 57 Thrasea supported the cause of the Cilicians accusing their late governor, Cossutianus Capito, of extortion, and the prosecution succeeded apparently largely through his influence.
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In 66, Cossutianus Capito finally succeeded in convincing Nero to move against Thrasea.
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In 62 the praetor Antistius Sosianus, who had written abusive poems about Nero, was accused on a maiestas charge by Thrasea's old enemy Cossutianus Capito, who had recently been restored to the senate through the influence of his father-in-law Tigellinus.