When lights are on low beam the fog(driving) lights workbut do not work on high beams.Can this be fixed so they work all the time

find the low beam light relays
by law the fog lights can only come on with low beam
using fog lights on high beam is *******

Your fogs only working when low beams are on is normal, as far as your low beam lights not working, I would have the headlight switch checked, or check for a bad fuse or possibly a relay if your car has a light relay. Some do and some don't, I am not that familiar with your model of car to tell you for sure.

Try the relays for the high / low beams. It should be in the main fuse box. Next is a problem with the column switch.

You can not have High Beams on and FOG LIGHTS at the same time. The Body Control Module controls this. You may have a bad Body control Module

hi try checking the relays the 1 for the low beam may be faulty

It sounds like you are confused about how your headlamp system is supposed to work. The DRL does not run on the High beam circuit, it runs on the low beam circuit. The fog lamps are supposed operate with the park lamps and also with the low beams, not the high beams. From your description, I would say that your system is operating as designed and you are having trouble telling High from Low. (Don't feel bad, that is why high beam indicators were invented in the first place.)

high low switch is gone or both low beams bad

most likely the hi lo switch

hi,
you could just run a possitive wire from the back of your high beams straight to your fog lights then earth the fog lights stright to the car. this will work just make shure you disconnect your battery before playing with the wire's. if your not sure what you are doing i would recommend you take it to an authurised electrican. as for the high and low, same system but i would say it probably would over load the fuse creating more work for you.