Arcangelo is the fifth and last known foal of the unraced Modeling (Tapit), who is also the dam of Montmartre (Distorted Humor), a winner in the US. She is a half-sister to the Grade 1 winner Streaming (Smart Strike), who took the Grade 1 Starlet Stakes, and to the stakes winners Treasuring (Smart Strike) and Cascading (A.P. Indy).

Second dam Teeming (Storm Cat) won three times and has seven winners from eight foals. She is also the second dam of Tyson and Cezanne, both winners at Group 2 level, and of the Group 3 winner Arabian Hope.

Third dam Better Than Honour (Deputy Minister), herself a winner at Grade 2 level, produced five winners from ten foals, including two winners of the Grade 1 Belmont Stakes, Jazil (Seeking the Gold), now a sire, and Rags to Riches (A.P. Indy). Her other offspring include Casino Drive (Mineshaft), a Grade 2 winner in the US, a sire and Group 1-placed in Japan, Man of Iron (Giant's Causeway), winner of the Breeders' Cup Marathon, and the dam of Greatest Honour (Tapit), a multiple graded stakes winner and Grade 1-placed.

The fourth dam Blush With Pride (Blushing Groom) won two Grade 1 races and is the grandam of the top-level winners Peeping Fawn and Thewayyouare, the latter now a sire.

Modeling has had no live foal since Arcangelo and was most recently covered by Munnings.