The defendants, all now aged 20, have pleaded not guilty to the charges they face, and were told on Friday that their trial will be held at Wood Green crown court on March 28 next year.
Starkey, the grandson of the Beatles drummer, is accused of two counts of assault by beating on Tesco shopkeepers Hiran Rajput and Shvium Patel.
Gallagher, the son of Oasis frontman Liam and All Saints singer Nicole Appleton, is accused of a racially aggravated assault on Mr Rajput, while Ponte, who has worked for modelling agency IMG, faces claims he stole a can of alcohol and attacked Mr Patel after racially abusing him.
All three men deny the charges, as well as an allegation of affray in the same incident on May 17, 2019.
Judge Noel Lucas QC on Friday set the trial for March next year, with the case expected to take up to eight days in front of a crown court jury.
All three defendants will remain on bail until their trial.