He also cries in the last part when Kevin Costner character lets go of the rope but i didn't find that scene very clear. Try to see the Butterfly Effect, he has a couple of teary and sad scenes there but i can't remember any of them as very significant.
''I like crying. And now I not only wanna cry and show my crying to other people, I wanna just split myself down the middle and open my guts and just throw everything out!''
Woody Harrelson