Thompstone - the Tigers' top try scorer last season - and Robson makes their first appearances at this level while Brookes made his Saxons debut in 2011 in the Churchill Cup record 87-0 win against the USA.
Bath Rugby wing Semesa Rokoduguni - ruled out of last weekend's 14-8 defeat against the O2 Ireland Wolfhounds with knee soreness - has returned to training ahead of Friday night's game at Scotstoun.
Those making way are Northampton Saints prop Tom Mercey (knee), Exeter Chiefs centre Sam Hill (hamstring) and Harlequins centre Matt Hopper (rib).
Robson takes over from Dave Lewis (Exeter Chiefs) and Anthony Watson (Bath Rugby) has rejoined the England senior squad at Pennyhill Park. A further addition to the backs available to Head Coach Jon Callard will be made in due course.
Kieran Brookes (Newcastle Falcons) , Nathan Catt (Bath Rugby) , Calum Clark (Northampton Saints) , Sam Dickinson (Northampton Saints), Dave Ewers (Exeter Chiefs) , Jamie George (Saracens), George Kruis (Saracens), Charlie Matthews (Harlequins), Elliott Stooke (Gloucester Rugby), Luke Wallace (Harlequins), Alex Waller (Northampton Saints), Dave Ward (Harlequins), Scott Wilson (Newcastle Falcons)
Freddie Burns (Gloucester Rugby), Elliot Daly (London Wasps), Rob Miller (Sale Sharks), Dan Robson (Gloucester Rugby), Semesa Rokoduguni (Bath Rugby), Charlie Sharples (Gloucester Rugby), Joe Simpson (London Wasps), Henry Slade (Exeter Chiefs), Adam Thompstone (Leicester Tigers)