I'm afraid your best bet is to keep trying. You could try using the text message service (07533 051809) but I'm not sure it's designed for fault reporting. VM staff work their way through posts on here, but response times are currently anything between a few days and a week.
Alternatively, keep on trying and perhaps earlier in the day....
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Have you tried signing into Service status at the top of this page and run a test against the TV box?
By doing this VM will send a signal to your box and try to repair it. The automated system should realise it's not connected, it may ask you to reboot etc, but it may also determine it's deceased and either send out a replacement or arrange an engineer appointment
If that doesn't work then you need to contact the Faults team.
This will unfortunately mean calling (again) 150 from a Virgin landline, or 0345 454 1111, options 1,1 and 2 (Faults) butbest to call at 8am to avoid call queues
When calling Faults you will go through a series of questions/tests, but hopefully it will realise you've run the online tests and put you through to an agent, if not answer no to every test they try and then call back around 10 minutes later and an agent should pick the phone up.
There's all the option of contacting retentions instead (think of leaving us) option 4, and a kindly ear and knowledgeable agent.
Or you could try the text messaging service. Just send a text with a description of TV Faults to 07533 051809. Your message will go into a queue and a representative will respond to you as soon as possible.It may take a few days.
The Service you do for others is the rent you pay for your room here on Earth - Muhammad Ali