can anyone tell me what is the maximum and the typical power consumption (in Watts) of this device?
The power consumption depends on the mode that FX3 is being used in. In the normal mode, the power consumption is at about 300 mW. For more information on the different modes, please refer to the FX3 datasheet that is available on cypress.com.
yes I have found some info there. On the other side, some info is still missing in the documentation...For example, what is the typical and max. current in the VIOx domains?
Yes, the exact values will be released once the product is released as such values may change.
As of now, the current consumption numbers for different modes can be found in Table 7 in the FX3 datasheet.