Cable to neighbours property through mine

Virgin media came to my property last week and asked to run a cable through my garden to my neighbours. I declined for various reasons but mainly because my cable is hidden and this cable to the neighbour's would have been surface clipped across some of my property which isn't acceptable.

I have since tried to contact Virgin about the next steps. An alternative route is through a shared driveway which I would also need consulting on before digging it up.

After speaking to 3 different people at Virgin media no-one can help me it seems, surely someone can advise? 

The neighbour seemingly doesn't know what's going on either. 

Regards 

Chris