In Casino Royale, the CIA agent, Felix Leiter, offers to stake Bond with the understanding that CIA will capture Le Chiffre when the game is over. Yet, when the game is over, Le Chiffre is freely running around, kidnapping and torturing people.
Bond had won the game, Le Chiffre was right there where the CIA wanted him. Then why did they let him run around and do more criminal activities?
The way things proceeded, Le Chiffre could have disappeared with the money if someone else wouldn't have shown up.