A rep for Goodyear just fired off near-identical letters in an attempt to reach Lindsay and Amanda, writing, "We're sorry to hear about your latest driving mishap ... We're concerned for your safety and the safety of those who hit the road each day, and we'd like to help out any way we can."

In case you forgot, Lindsay's latest mishap occurred this week -- when she was arrested for allegedly hitting a pedestrian in NYC and fleeing the scene. Amanda's had countless mishaps in the last several months -- including two alleged hit-and-runs and one alleged DUI.

Goodyear's solution -- the tire company says it wants to fly the girls out to its headquarters in Akron for "a private 1-on-1 lesson with our professional drivers -- no paparazzi allowed -- who can show you all the do's and don'ts of driving safely."

According to the letter, Goodyear is offering Amanda and Lindsay full access to its awesome test track and course for the lessons.