He chases Alex Dimitrios to the Bahamas and follows him to Miami. M orders Bond to disappear for a while, and Bond uses his time off to pursue some bad guys.
Next, in Madagascar, Bond chases a bomb-wielding suspect into an embassy and shoots him on camera.
Casino Royale begins with a young James Bond in Prague discussing his first kill with a traitorous MI6 station chief, just before Bond kills the station chief as well.