Falls of the elderly, as well as younger people and children, can cause injuries. In the elderly, falls are one of the leading causes of injury and death, and the second leading cause of accidental and unintentional deaths. Balance and problems related to balance are one of the most common health problems in the elderly and, in most cases, are the primary cause of falls. A measure to improve functionality in maintaining balance and preventing falls is balance rehabilitation. The platform of the TeleRehaB DSS project is developed to actively engage patients physically and help them in the rehabilitation process. It contains Virtual Coach (VC) support that is adapted in such way so that it can effectively enable the user to achieve various goals. The TeleRehab DSS system for patients with balance problems delivers a training program at home with the help of VC support. The active participation of the patient in these games results in significant improvements in the rehabilitation process. “Catching Game” is one of the games within the Cognitive Games section, in which the patient has the task of collecting apples that fall from the tree at a certain speed. Regulating the speed of falling apples as well as their quantity can be achieved by introducing the field of artificial intelligence (AI), which will have the ability to recognize the patient's needs and personalize their experiences, thereby raising the functionality of VC support to a higher level. In the future, the goal is to work on the improvement of these types of systems based on augmented reality with the help of AI that contributes to the rehabilitation of patients by increasing the percentage of their efficiency.