TR, interesting question. There likely will be several different insurance policies involved. Depending how this is being set up by MLB, etc, the players are likely to be employees of someone. Their injuries would all be covered by workers'compensation. While that will pay 100% of the medical bills, it pays only a small indemnity payment if the player cannot play, compared to the salary for MLB. If the player's contract does not provide for the payment of salary during the disability period, then either the player, MLB, the club or all of above will purchase a disability policy to cover the loss of pay. If it is very important for MLB to have the very best players, I would expect MLB to provide the disability insurance. Could be even more complicated for the Latin players.