“We've had reports that former IMF director-turned-super-traitor, Jim Phelps, is still active! We thought that he'd been taken care of... While we don't know his location, we DO know the whereabouts of his wife Claire, and she may be able to give us crucial intel. Your mission, should you choose to accept it - and I really would, as this is a biggy - is to find and apprehend Claire. She was last sighted somewhere in Prague, so start the search there. This message will self-destruct in five seconds.”
“Finally, you found him! Great work. I'm sending some agents over to pick him up right now, so hold him until they arrive. Seriously, don't take your eyes off him. He's slippery, that one. And quick. In agent training they used to call him 'Fast Phelps'. Anyway, I trust you've got this, so consider this mission complete.”
The quest itself is quite contrary to what happened to Phelps in the end of the first film wherein he and Franz Krieger were killed in the helicopter explosion during the Channel Tunnel fight with Ethan Hunt.