Euro low beam right side brighter than left side

Look for a bad or broken ground wire on that circuit.

Check the wiring on that light. Also check the bulb with a couple of wires to the battery, or swap the bulb left to right to make sure the new bulb is okay.

If this fuse box diagram below is correct you have a fuse for left low beam head light and another fuse for right low beam head light and a third fuse for both the high beam headlights. If the fuse is good for the right I think I would take the left low beam head light and put on the right side and see if it works on the right side. If you think you got the wiring correct. It may be the bulb is bad from the wires which shorted out. A voltmeter or test light to the socket would save some time switching the lights. I have had the socket bad before and had to change the bulb socket.
https://fusesdiagram.com/ford/fuse-box-diagram-ford-taurus-2000-2007.html

ditto

huh?
say that one more time, and be clear on left and right sides.
car has 2 head lamps and 2 beams.
explain again?

or say why you ask.? name problem or why you ask.
tongue in cheek....firmly....
turning car into a , road side beacon?
or a search light to warm sailor of shoaling?

I would check for the groundwire continuity

Driver side - dim low beams and no hi beam - Subaru Outback ...

www.subaruoutback.org > ... > General > Electrical & Electronics

Oct 11, 2014 - Hi everyone, My drivers side headlights are dim on low, (car has separate bulbs ... When the headlight switch is turned ON, but for low beams, ...

Driver-side Low beam Not Working (electrical issue not bulb ...

www.hummer4x4offroad.com/.../showthread.php?...Driver-side-Low-be...

Mar 12, 2015 - 10 posts - ‎4 authors
The high beam continues to work on both sides...I pulled the Driverside headlamp fuse and then both left and right beams lit up but very dim.

High beams ok, but not low beam - one side only - TDIClub Forums

forums.tdiclub.com > ... > VW MKIV-A4 TDIs (VE and PD)

Jan 23, 2014 - My driver's side lights are working fine - high and low beams. ... But it definitely looks like the big lamp on the driver's side gets brighter when ..... Drivers side headlight is very dim on low beam and goes out when on high beam ...

Dim driver's side headlight (low & high beam) - GrandAmGT.com Forum

www.grandamgt.com > ... > Technical Q&A

Dec 11, 2002 - 6 posts - ‎4 authors

your left head lamp needs replaced. thats all !!!!!!!!!

The wiring harnesses in the plugs behind the bulbs are burned up seperate rear of headlight cover and inspect parts available at your ford dealer

i think you hit the nail on the head with the ground problem,if you remove the bulb from the head light assembly,wiggle the black wire to see if the bulb gets brighter,if it does remove the bulb and clean and tighten the ground wire end.if it does not get brighter from a wiggle,connect the ground end of a test light to the positive post of the battery and probe the black wire,test light should light,if so replace the light socket.

have you looked into the relay?

Red/white is left high beam and red/yellow is left low beam. Red/orange is right high beam and red/green is right low beam.