New York Laws
Article 10 - Parties Generally
R1011 - Successive Third-Party Proceedings; Counterclaims.

Rule 1011. Successive third-party proceedings; counterclaims. A
third-party defendant may proceed pursuant to section 1007 against any
person who is or may be liable to him for all or part of the third-party
claim. When a counterclaim is asserted against a plaintiff, he may
proceed pursuant to section 1007 as if he were a defendant.