I tried reloading a an earlier save (at the start of the whole sequence, just a save jusst before going outside did not work) and it worked for me. This time Basim followed me around the training ground.
I got the same bug. I checked a video to see if there was something I did wrong, and it seems lite Basim is supposed to walk with you when you go to the different dummies. But for me he remains stationary at the entrence. So perhaps Basim is the bugged one?