A vehicular driving assistance system includes a camera viewing exterior of a vehicle and capturing image data. The system, via processing captured image data as the vehicle travels along a current traffic lane, determines a current lateral position of the vehicle within the current traffic lane and determines a target lateral position of the vehicle within the current traffic lane. The system determines a steering command to guide the vehicle from the current lateral position to the target lateral position and determines a steering angle offset required to maintain the target lateral position within the current traffic lane and stores the determined steering angle offset in nonvolatile memory. After storing the determined steering angle offset and when the vehicle is traveling during a subsequent trip, the system determines a second target lateral position of the vehicle within the current traffic lane and applies the stored steering angle offset.