Dream Of Dreams is out of the unraced Vasilia (Dansili). She is also the dam of Silverheels (Verglas), second in the Gr.3 Solario S. and multiple group-placed in England, and Lasilia (Acclamation), runner-up in the Listed Dragon S. and herself the dam of the listed-placed Brassica (Australia).

Second dam Kangra Valley (Indian Ridge).

Third dam Thorner Lane (Tina's Pet).

Vasilia is related to Airwave (Air Express), winner of the Gr.1 Cheveley Park S. and Broodmare of the Year in 2017 through her offspring Churchill and Clemmie, both by Galileo. Her four black-type winners also include Aloof (Galileo), winner of the Gr.3 Lanwades Stud Fillies' S., and Meow (Storm Cat), who won the Listed Curragh S. and was second in the Gr.2 Queen Mary S. The family also contains Jwala (Oasis Dream), winner of the Gr.1 Nunthorpe S.

Vasilia's younger foals include the 3-year-old colt Fantastic Fox (Frankel), a 2-year-old filly by Galileo and a colt foal by Australia.