Olaolaho At this point normally before grapheneos I would have the phones in a Faraday bag to be 100% sure it not ammits anything to trace me..
Faraday bags are not strictly required with GrapheneOS if you use airplane mode and disable unused radios (such as Bluetooth), but Faraday bags can provide peace of mind.
Olaolaho At any point I would need to connect to the net I have a mobile router with VPN installed what I only connect as a repeater from existing WiFi networks.. Does my device can be visible anywhere or anyhow if I have fliggtmode and only connected to my mobile hotspot without sim?
With this setup, the GrapheneOS device is not directly visible to eavesdroppers. When you connect to the mobile router using Wi-Fi (with the default per-connection randomized MAC setting), eavesdroppers can only see that some device is connected. Each reconnection to the router will look like a different device over the air (especially if an encrypted Wi-Fi mode is used such as WPA3). On the other hand, your mobile router is fully visible to the cellular network and cellular carriers. If that mobile router or the cellular plan is linked to your identity, your location - while the router is connected to cellular networks - will be collected and stored by cellular carriers.
Olaolaho I read about WiFi scanning and the worrie about Bluetooth emitting at boot but is there a way to trace me (NOT BY PROXIMITY) just by having the phone on? Does the router can be the weak point?
The router is definitely a weak point due to cellular tracking. By design, cellular networks collect precise locations of all connected clients. If your mobile plan or router's IMEI are connected to your identity, that location tracking is also linked to your identity.
Olaolaho Does your phone search for wifi networks when WiFi is on and does he sends out specific identifiers?
Read https://grapheneos.org/usage#wifi-privacy-scanning. If you have hidden Wi-Fi networks saved to your phone, that's bad for privacy. Hidden networks don't broadcast themselves, so instead the phone must constantly broadcast packets asking, "Is network ABC in proximity? Is network DEF in proximity?" The set of hidden networks that your phone broadcasts creates a unique fingerprint. If you have zero hidden networks saved, your phone cannot be uniquely identified during Wi-Fi scanning. Wi-Fi scanning only uses temporary, randomized identifiers.
Olaolaho I mean if I am today in Rome for example and tomorrow I be in Paris is my phone recognizable by this set up if I am personal tageted?
Your phone is not recognizable, but your mobile router is. It's trivial for the cellular network to determine the same person (possibly linked to your real identity) was in Rome and then in Paris based on your mobile router's IMEI and your cellular plan.
Note that if you've used that mobile router or cellular plan in a sensitive location (such as your home), it is effectively linked to your identity. The cellular carriers would have already stored the fact that your mobile router and/or cellular plan were connected while at your home in that example. And the location of your home (or workplace, hotel, etc.) may be linked to your identity through various methods.