Reese filed for divorce last November after seven years of marriage and is seeking joint legal custody and sole physical custody of the children.
In his latest movie 'Breach', which is based on a true story, Ryan plays a young FBI agent who is set the task of bringing down double agent Robert Hanssen, played by Chris Cooper.
Hanssen sold vital US security secrets to the Russian KGB during the Cold War.
Ryan admits he loved making the movie because it fulfilled his filmmaking goals.
He said: "I think with this movie we tell a story that people already know the end to and still manage to maintain the suspense and that's pretty brilliant.
"This film is really un-Hollywood and so it's cool that Universal made it. There are no gimmicks, it's a really real raw drama and that appealed to me."