Fitted a Bluetooth module and coded it. Gives me voice recognition for the phone for dialing and music 
For anyone interested this is what I did.
Volkswagen 9W7 Bluetooth Coding for MK 6 GTI MY 2010
With this retrofit I am able to pair my phone with the car and use hands free to make and receive calls and use voice to control the phone. The phone book appears in the DIS and can be controlled via the buttons on the steering wheel. The microphone in the overhead console is used.
The original configuration that I have in the car (MK 6 GTI MY 2010) is:
RCD310 (DAB) radio part number 1K0 035 186 AB
MDI part number 5N0 035 342
Multi-function steering wheel with cruise control.
White DIS.
I installed an OEM Bluetooth module (wiring instructions are below the coding instructions)
Part number: 7P6 035 730 F
Initial coding in CAN gateway address 19: Bring up the installed list and tick 77 telephone.
Coding using VCDS for telephone address 77:
My coding: 0200000000010110
The multi-function steering wheel also needs re-coding address 16:
Original code: 0000532
New code: 0000732
The change of the code is required to activate the microphone button on the steering wheel as it was only a mute button originally. This provides voice recognition for the phone for dialing, music etc.
(Note that the socket configuration for the RCD310 and RNS310 are identical)
The total cost was £115.
I bought a harness from carsystems.pl with postage was £35.00 The harness bought included all the wiring for the MDI and Bluetooth module as this did not require any extra wiring (It was plug and play and included SDS cabling for head units with voice control eg RNS510)
Combo Kabelset VW Bluetooth 7P6035730 + MDI 5N0035342 ► ULTRA Plug & Play SDS
Useful installation instructions at:
https://carsystems.home.pl/instrukcje/bluetooth%20golf%20VI.pdf
and at
https://www.carsystems.eu/bluetooth-wiring-connection-scheme-sds-functionality-how-to-connect,b18.html
The new cable for the MDI was routed through the central console alongside the front cup holder. I found it easier to remove the rear cup holder and surrounding trim to pull the cable through. The Bluetooth cable and microphone were routed as per the carsystems instruction.
The bluetooth module came from ebay £71.00
The microphone labelled as a Skoda harness on ebay was half the price of the advertised VW microphone and is exactly the same at about £7.00 and came with cabling that was not required.
That's useful info, cheers Joe!
This is something I have always wanted to do to my car, but haven't been able to justify yet. I have bluetooth in my car, but it's a Volkswagen accessory system which uses a little screen stuck to the dash which I hate. It works though, so I haven't found an excuse to bin it yet and get the integrated module.
What kind of phone are you using with it? Have you tested playing music over bluetooth?
That seems like a great price for the retrofit!