Forest's defence has been the subject of much scrutiny this summer as Davies looks for new signings at the back but they held firm at the Madejski Stadium and also survived a late red card.
Davies told the official club website: "I thought our work ethic, discipline and organisation was first class."
Last season also began for the Reds with a 0-0 against the Royals but the greater strength in depth of Davies' squad, which he hopes to add to further before the deadline, bodes well for a better campaign at the City Ground.