Are you on the auto light mode? If not its most likely a capacitor deal, and there's no real "fix" unless you figure a way to rapid decharge them when you shut them down.

 

i figured it was a discharge issue but I was thinking maybe it's because I have the relay controller connected to one light and nothing connect to the other light therefor it may not be a complete circuit.

I don't have auto lights but the lights will turn off after 20-30 seconds if I leave them on. I was thinking of attaching a burnt light bulb on the empty connection to see if it makes a difference.

 

When I turn my truck off (After having the Headlights On) They stay on for over a minute before shutting off, My works Caravans do the same thing. Im not running HID Hi/Lows either.
If you mean the stay on after you turn the truck off, without having the Headlights on. the It would be a Capacitor somewhere, or a Relay issue Id think

 

I have hids for low, and mine don't stay on, are you turning your headlights off before you turn the turn the truck off?

 

Yes I turn them off before turning off my truck.

 

Those are showing as low-beam xenon/high-beam halogen. Are the high-beams working ok?

 

Yes the high beams work. They work in all three settings, day running lights, head lights and high beams.

 

Cool. Any stray-light issues with the retrofit since they're not projector lamps?

 

It seams that the right side light shoots a little high. I haven't had anyone high beam me yet. Not exactly sure what you mean by stray light but I have noticed that any sign that is reflective I can see it light up from about 300 feet away even if it's 40 feet in the air and any signs that almost 90 degree on each side. When I pull up behind a vehicle I see the lights about 1/2 way between the top of the trunk and bumper. I have never seen anyone flip their mirror and I can't really see in their car either.

 

I plugged a regular halogen light into the empty head light connector to see what would happen but the lights still stay after I turn off my truck. I can't figure it out...