That sounds like a bent wheel or a tires that's either worn unevenly or
improperly mounted.

That would be consistent with the low speed wobble.

That sounds like worn front ball joints or tie rod ends.

If the tie rod ends are worn, attempting to align the car is an exercise
in futility. No reputable shop would do it.

Are they wearing evenly? If the alignment is off, uneven wear will
result and cause the problem

If it's a wear problem, that wouldn't be surprising.

How do you drive the car? Aggressive cornering, wheelspinning
acceleration and hard stopping can all cause wear issues and/or internal
tire problems.

It sounds to me like the tires are the most likely culprit. If you had a
seriously bent wheel, you would feel the wobble no matter what. Jack up
the car and check to see if the tires hop or wobble when you spin them.
Look for uneven tread wear. If you see any of these, you've probably
found your culprit.

2002 Elantra with 180,000 km highway driving...

Here's the problem but my dealer and another garage have yet to solve the
problem. I'm getting tired of paying to try things without a solution in
sight...

- steering wheel wobbles at lower speeds
- at higher speeds it's a vibration
- sometimes pulls to the left sometimes slightly to the right.. sometimes
not at all.

Here's what's been tried so far:

- Tie rod ends needed changing (Possibly unrelated)
- Several allignments (thankfully i didn't have to pay for all of them)
- Several tire balancings
- 4 new tires.. problem went away for a few weeks but is back again
- Re-balance made no difference

I suggested the rims may be the problem but i've been told several times
that the balancing would sort that out... but balancing is really the fix
if it was only a high speed issue right?

Any ideas or suggestions?