The simple answer is yes, they do. See Texas Rule of Civil Procedure 162.

But the defendant’s pleading must allege a cause of action independent of the plaintiff’s claims on which the defendant can recover.  If a defendant fails to do so, then the plaintiff has an absolute right to a non-suit of all claims, as the Dallas Court of Appeals demonstrated in In re Metropolitan Lloyds Insurance Company of Texas.Continue Reading Do counterclaims survive when a plaintiff non-suits?