Converge is out of Conversely (Shamardal), a three-time placed runner in Ireland, and was her first foal.

Second dam Melhor Ainda (Pulpit) won five races, among them the Grade 3 Belmont Sands Point S. in the US, and was second in the Grade 1 Hollywood Oaks. She is a full sister to Back Up Preacher, dam of the stakes winner New York Groove (Verrazano), and a half-sister to Danon Go Go (Aldeberan), a stakes winner in Japan.

Third dam Potrinner (Potrillazo) was a Group 1 winner in Argentina, where she took the Gr.1 Gran Premio 1,000 Guineas at San Isidro and was second in the Gr.1 Gran Premio Seleccion.

This is a South American family that includes three champions in Argentina: Potridee (Potrillazo), champion 2-year-old filly and a full sister to Potrinner, Touareg (Easing Along), champion 2-year-old colt, and Potrizaris (Potrillazo), champion 3-year-old filly and another full sister. A further full sister, the Group 1 winner Potrichal, is the dam of T H Approval (With Approval), a Grade 2 winner in the US.

Conversely has an unraced 2-year-old, Conservative (Churchill), and a yearling colt by Invader, and was covered by Divine Prophet in the spring of 2021.