Uncommanded Lateral Offset

[ChunkyMonkeyHustler]

I have had serval instances over the last two or three updates where the A350-900 and A350-1000 flies .02NM to the left just after departure and upon autopilot engagement all the way through the autopilot intercepting the ILS on approach. I've tried disconnecting the autopilot and manually recentering on the route. When I reengage the autopilot the aircraft will drift back to the 0.2NM left. Take note of how the autopilot commands the ailerons. (This phenomenon occurs regardless of wind speed and direction.) Thoughts, suggestions or solutions?