(a) When Available. At any time after commencement of the action a defendant may have a summons and complaint served on a person not a party to the action who is or may be liable to the defendant for all or part of the plaintiff’s claim against the defendant, and may also assert any other claim that arises out of the transaction or occurrence that is the subject matter of the plaintiff’s claim. The defendant need not obtain leave of court if the defendant files the third-party complaint not later than 20 days after the defendant serves the original answer. Otherwise, the defendant must obtain leave on motion and notice to all parties to the action. The person served with the summons and third-party complaint, herein called the third-party defendant, shall make defenses to the defendant’s claim as provided in rules 1.110 and 1.140 and counterclaims against the defendant and crossclaims against other third-party defendants as provided in rule 1.170. The third-party defendant may assert against the plaintiff any defenses that the defendant has to the plaintiff’s claim. The third-party defendant may also assert any claim against the plaintiff arising out of the transaction or occurrence that is the subject matter of the plaintiff’s claim against the defendant. The plaintiff may assert any claim against the third-party defendant arising out of the transaction or occurrence that is the subject matter of the plaintiff’s claim against the defendant, and the third-party defendant thereupon shall assert a defense as provided in rules 1.110 and 1.140 and counterclaims and crossclaims as provided in rule 1.170. Any party may move to strike the third-party claim or for its severance or separate trial. A third-party defendant may proceed under this rule against any person not a party to the action who is or may be liable to the third-party defendant for all or part of the claim made in the action against the third-party defendant.
(b) When Plaintiff May Bring in Third Party. When a counterclaim is asserted against the plaintiff, the plaintiff may bring in a third party under circumstances which would entitle a defendant to do so under this rule.