Suppression of post-Miranda statements was at issue in the recent Oregon Court of Appeals case of State v. Schrepfer, 288 Or App 429 (2017). In this case, the defendant was arrested for robbery charges. While in police custody, the defendant said "I am done talking," in response to police questions. Despite this statement, the police continued to question the defendant about the crime. Eventually, the defendant made statements in response to the continued police questioning. Before trial, the defendant's criminal law attorney file a motion to suppress the statements made by the defendant after he told the police he was done talking. The trial court did not agree with defendant, and it denied his motion to suppress. The Court of Appeals, however, reversed the trial court, holding that defendant's "invocation [of his right to silence] was unequivocal."
This case shows at least a couple important things. First, you do have a constitutional right to silence. Even if you make a confession or some admissions that hurt your case, you may have a basis to have that confession or those statements thrown out. But this does not happen automatically, you usually have to fight for your rights in court. A skilled criminal law attorney will know what your rights are and how to fight for them.