Is there any way to control a 12Vdc relay using 60Vdc line
You can do this with a relay but its contacts have to be rated to carry the current that it may be switching. You haven't mentioned this but there are plenty of relays that can switch 10  amps at much higher voltages than 60 V dc.

What you may not have is a control voltage to activate the relay coil. Most typical relays will have variants that cover 5 volt and 12 volt coils so choose one that you prefer.

The fault condition you mention may provide a signal that can be used to activate the relay coil but again without more details of your setup it's impossible to say BUT there should be enough information here for you to make a start.