How to deal with this?

This girl at my gym will still p by me,at times want my attention gaze at me etc......We have been rude and abrasive to each other in the past(her being iranian and me being asian which i guess resukted in racial incidents) and i have apoligized to her numerous times.Today she smiled warmly at me(i apoligized again to day)even if she didn't talk to me much and said she would see me next time.What do i make of her behavior?