Charlize Theron and Sean Penn have a problem ... she definitely doesn't like him, and he may feel similarly, but they're promoting a movie they did before the bitter breakup ... so they resorted to a hug.
The couple broke up last year, and we're told it was the opposite of friendly. She didn't much care for him ... is the nice way of saying it.
There were lots of reports that the 2 were avoiding each during the debut of their flick, "The Last Face." They appeared super uncomfortable when they got together a few days back.
So, a hug could salvage what is a PR disaster for the movie. Or not.