Pay attention that under "Balance" at the top left corner and "Balance by tokens" window you will see the available balance of tokens on the current network, sort by highest to lowest value in $ USD.
The available balance on other networks is displayed in the "You also have" window:
You can easily switch between the available networks by going to the dropdown menu on the top right corner and selecting the desired one, or by clicking on the network name under "You also have" list.
Here you can find a list of all networks supported by Ambire Wallet.