Set Piece is out of Portodora (Kingmambo), who won twice. He is a full-brother to Tempera, a two-year-old winner, and a half-brother to five other winners, headed by Alocasia (Kingman), a dual Listed winner in France who was placed in the Gr.3 Prix Texanita and the Gr.3 Prix Six Perfections.

Second dam High Walden (El Gran Senor) was a Listed winner in the US and finished fourth in the Gr.1 Nassau Stakes. She has five other winners, among them Razorbill (Speightstown), who won ten races, and Gins And Tins (Scat Daddy), who won five.

Third dam Modena (Roberto) did not race but became a foundation mare. She is the dam of the dual Group 1 winners Elmaamul (Diesis), whose wins include the Gr.1 Coral-Eclipse S., and Reams of Verse (Nureyev), as well as Manifest (Rainbow Quest), winner of the Gr.2 Yorkshire Cup, and the Group 3 winners Modern Day (Dayjur) and Modernise (Known Fact). Reams of Verse produced the multiple Graded winner Eagle Poise (Empire Maker), a Grade 3 winner in Canada, and Many Volumes, winner of the Listed Gala Stakes, and she is the grandam of Zacinto, winner of the Gr.2 Celebration Mile. Modena is also the grandam of Midday (Oasis Dream), a six-time Group 1 winner whose wins include the Grade 1 Breeders' Cup Filly and Mare Turf.

Modena is a half-sister to the dam of the sires Zamindar and Zafonic.

Portodora has an unraced 3-year-old filly by Nathaniel, and her last reported foal is a yearling filly by Kingman.