Dreamloper is the second foal out of Livia's Dream (Teofilo), a stakes winner in England who took the Listed Wild Flower S. Dreamloper is a half-sister to Dreamweaver (Mastercraftsman), who won five races.

Second dam Brindisi (Dr Fong) won the Listed Dick Hern S. and was placed three more times at Listed level.

Third dam Genoa (Zafonic), runner-up in the Listed Fillies' Trial S., bred six winners. Among them are La Spezia (Danehill Dancer), placed in the Listed Pretty Polly S. and dam of Thomas Hobson, winner of the Gr.2 Doncaster Cup, and Torphichen (Alhaarth), a Listed winner over hurdles who was placed at Group 1 level over fences.

Further back this is the family of Talent (New Approach), winner of the Gr.1 Oaks and dam of the Group 2 winner Ambition, who was placed in the Gr.1 Prix Jean Romanet.