If the burden of proof is met and a trespasser prevails in their case, then they will be entitled to the same forms of compensation as any other injured party.  Compensation might be able to cover the following:
Medical bills to recover from the injury, which may include hospital bills, doctor bills, costs of rehabilitation, medicine, and other medical-related costs.
Lost wages to compensate for days away from work resulting from the injury.
Pain and suffering if the injuries are particularly severe.