Continuity mistake: After Christian and Satine start the final song onstage and everyone begins dancing, the Argentinian and the old, bearded man are on the right side of the stage. In the next shot, they're on the other side of C and S, dancing with the other two Bohemians.
Continuity mistake: When Satine says, "It's lady's choice.", from a front view, the Argentinian is very close to the bearded man, but from a back shot they are farther away. (00:18:45)
Continuity mistake: During the "Like a Virgin" sequence, when the Duke is sitting on a couch, his hair changes between the shots: From loose to perfectly brushed and straight.
Continuity mistake: During Satine's first number, Diamonds, when she is on the trapeze, her lipstick is a bright red. It changes to a dark pink and then back to red during the song and is finally pink when she has passed out.
Continuity mistake: During the "Rhythm of the Night" dance sequence you see The Petite Princess singing on the bar in a hindu outfit behind the gnarly men. After that you see her in her can can skirt. Then any time you see the gnarly men she's back in the hindu outfit.
Continuity mistake: In the end of "Your Song" when Satine and Christian return to the Elephant Room, Satine puts her right arm around Christian's neck. Shots from Satine's right side reveal her right forearm (you can see her elbow), but shots from her left side show that her sleeve cover the entire forearm, and uncover it when she doesn't put her arm in Christian's neck anymore (touch his shoulder).
Continuity mistake: When Christian and Satine are up on the elephant and she is about to leave, you see him put his hand on the pole. Then it cuts to another shot and you see him put his hand on it again in a different way.
Answer: He wallows in self-pity for a while, then eventually begins to write their story. There's no indication that he has any further links with the Moulin Rouge - it would probably be too painful for him. Christian actually states in the movie that the night Satine died was the last time he ever stepped foot in the Moulin Rouge.
Tailkinker ★
In what scene did he state that I'm curious.
When he talks about going back there to see if she still loves him. Right before he goes back there that last time.
When Christian sneaks back in after having been tossed out, he says he returned to the Moulin Rouge one last time.