Galileo Chrome is out of Curious Mind (Dansili), a half-sister to Michelangelo (Galileo), winner of the Listed Cocked Hat S. and third in the Gr.1 St Leger.

Second dam Intrigued (Darshaan) was twice listed-placed and also produced Private Secretary (Kingman), another winner of the Listed Cocked Hat S.

Third dam Last Second (Alzao) won the Nassau S. and the Sun Chariot S., both then Group 2 races She is the dam of the sire Aussie Rules, winner of the Gr.1 Poule d'Essai des Poulains and the Grade 1 Shadwell Turf Mile, and of the listed winner Approach (Darshaan). Approach in turn produced Coronet (Dubawi), winner of the Gr.1 Grand Prix de Saint-Cloud and fifth in the Gr.1 St Leger, and Midas Touch (Galileo), second in the Gr.1 St Leger and in the Gr.1 Irish Derby.

Last Second is related to Alleluia (Caerleon), winner of the Doncaster Cup, then a Group 3, and dam of the Gr.1 Prix Royal Oak winner Allegretto (Galileo) and of the full-sisters Arrikala and Alouette (Darshaan), both listed winners and group-placed. Alouette is the dam of the dual Gr.1 Champion S. winner Alborada (Alzao). The family is also connected to the full-sisters Yesterday and Quarter Moon (Sadler's Wells).

Curious Mind has a yearling full-sister to Galileo Chrome and a colt foal by Dream Ahead.