To an Australian, introductions in the US can sound
boastful, but they can also be useful as a quick
way to share one's specialties.
But this one puzzles me a bit. Typically, we talk up the people we're introducing - I'm not sure I've ever heard anybody talk themselves up during an introduction!"Sally, this is Bob. Bob's been doing some really cool stuff with XYZ lately. Sally, I know you have too!"
(At which point Sally and Bob often politely insist that no, they're nothing special at XYZ)
I've always thought of this as gracious and not boastful. I definitely agree it would be obnoxious to talk one's self up!