Originally Posted by slumcat
Oh they invariably would end up training together. It takes about 6-8 months of training to get where Cavill was at in MOS. And since both Cavill and the Batman actor will be training with Twight & Gym Jones, their training periods will overlap and they will indeed end up training together.
About the competition though, Deborah Snyder the producer indicated that Shannon and Cavill did do some competitive sessions in the gym.
Just because their training periods might overlap doesn't guarantee they'll have training sessions together. Cavill never trained with Shannon or Traue. They were kept separate as a way to further help the training reinforce their characters.