i think u battle the elite 4 all over again
No once any Pokemon has fainted you can not capture it sorry
if you made him faint, YOU can't catch him. if you ran away, you still can. but if you made him faint YOU need to trade for it cuz YOURS is long gone.
Unfortunately, no you can not access Kyurem's Lair again, unless you didn't catch it or accidentally made it faint
You can always fight the Elite Four again. That allows you to find Mewtwo again. It worked for me in Pokemon X. It is best to save before you make it faint. Do so BEFORE you enter their caves! SAVE BEFORE BATTLING LEGENDARIES.
You have two chances to catch Mesprit. If you accidentally make it faint both times, you can't catch it anymore. If you made Mesprit faint once, find it, trap it, lower its hp to 1 using false swipe (you should have gotten the TM), let it escape, then encounter it again and use a quick ball.
Yes you can catch it when you defeat it but you have to beat the elite four and Cynthia for it to come back.
Yes you can! After he faints go back and he'll be there.
=ANSWER IF YOU MAKE A SHADOW POKEMON FAINT LIKE FOR ME I MADE CHANSEY FAINT, YOU CAN GET ANOTHER CHANCE AT GETTING IT BY CHECKING YOUR MIROR B RADAR! IF HE IS CLOSE BY,FIGHT HIM AND CATCH THAT SHADOW POKEMON AND IM NOT A GIRL I AM JUST A VERY GOOD POKEMON PLAYER AND IF YOU HAVE ANY QUESTIONS ON POKEMON,JUST ASK ME!!!!!!!! =
If you have already caught them and saved, you cannot re-battle them again. If you made them faint, you have to battle the Elite Four again to make them respawn.
throw a quixk ball in the start of the battle
Slather honey on a honey tree. Comeback later and there's a 1% chance it's a Muchlax. Don't worry, I'm still trying to catch it to. i accidently made it faint the first time =(
You Have To Complete The Spear Pillar Scene And It Should Be There. If Not You May Have made it faint... You cannot get azelf unless you catch or defeat Dialga or Palkia at spear pillar.