In the case of Valdez v. United States (1916), the Supreme Court ruled on a matter concerning double jeopardy and self-incrimination rights under the Fifth Amendment. The defendant, Mr. Valdez, was charged with smuggling goods into Mexico without paying customs duties and had been convicted in a lower court based on his own testimony given in an unrelated civil suit regarding ownership of those goods. He appealed to the Supreme Court arguing that using his previous testimony violated his constitutional protection against self-incrimination and constituted double jeopardy as he was being tried twice for essentially the same offense. The Supreme Court disagreed with both arguments made by Mr.Valdez. It held that there was no violation of double jeopardy because each trial involved different offenses - one civil, one criminal - even though they were related to similar facts or circumstances; thus it did not constitute multiple prosecutions for "the same offence". Regarding self-incrimination, since Mr.Valdez voluntarily testified about owning smuggled goods during a separate civil proceeding where he wasn't at risk of criminal liability, this didn't violate his Fifth Amendment right against compelled self-incrimination.

In the dissenting opinion for Valdez v. United States, Justice Hughes argued that the defendant's constitutional rights were violated when he was not allowed to consult with his counsel during a recess in his trial. He believed that this denial of access to legal advice infringed upon the Sixth Amendment right to assistance of counsel, which is fundamental in ensuring fair trials and justice. The majority ruling upheld the conviction on grounds that no prejudice resulted from this action; however, Justice Hughes contended it was impossible to determine whether or not harm had been done as a result of denying consultation with an attorney during such a critical time period. Thus, he disagreed with affirming Valdez’s conviction without knowing if it had been influenced by these circumstances.