Yes, you will be notified when your pet leaves the wifi area. This may not always be useful, as some wifi zones are larger than the boundaries of the home. When this issue occurs for you, then you will need to set up a dangerous zone over the top of your home in order to receive notifications when your pet leaves the area. If this does not work, you will need to remove the wifi which is located in Safe Zone Settings. Do not set up dangerous zones outside the 4 sides of your home. It is designed to act as a normal geofence, so set it up around the perimteres of your home, or where you would like to be alerted when your pet leaves and enters the home.