OK, so you've converted your side-marker to use LED bulbs and now the DBG mod has stopped working if the parking lights are off... what to do?
Providing, at least one of your front or rear parking lights are still filament-based (if
not, see
also post 3) you just need to use a bridge rectifier before your LED bulb. Basically the reason is this... When the parking lights are on, the brown wire is +ve and the blue is ground. As you know, LEDs are unidirectional and given that they are wired the right way, they will light. However, when the parking lights are OFF, the voltage reverses, now it's the BLUE wire that is positive (on flash) and the brown becomes the ground, thus the LED(s) won't light!
If you are just replacing the side-marker filament bulbs with LED t10-base bulbs, you MUST use ones that include a bridge rectifier - these are the types that can be inserted either way round and will still work. If you have the type that can only be inserted one way round (they come with a warning thst says something like "if these bulbs fail to light, just turn them around in the socket") then you are SOL.
If you are custom-converting your side markers (as I did) then you must add a bridge rectifier. Bridge rectifiers are simply 4 diodes arranged in a diamond pattern and packaged with 4 leads - 1 off each corner of the diamond:

Suitable types can be found at RadioShack (or eBay) such as this one:
http://www.radioshack.com/product/index.jsp?productId=20843296You just wire the two legs marked with the "~" to the socket, and then the "+" and "-" legs to your LED(s). Here are some photos of my build as examples...
This is the bridge rectifier front and back, leads bent to fit and loosely inserted in the base from an old eBay LED bulb (sacrificed for the cause):
[attachimg=1]
Then the final connections, soldered to the LED wires and added insulation and heat-shrink:
[attachimg=2]