If you defeat the roaming Latios in Pokemon Emerald, the Pokemon you used to battle it in that encounter will gain the appropreate Experience Points. Unfortunately, it also means that Latios will no longer roam around Hoenn. You only have one chance of capturing it, so defeating Latios results in that chance ending. Latios cannot be found again after you defeat it.
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As soon as you defeat the Pokemon league, you can find Latios roaming around in the wild. You can also get Latias in Pokemon Sapphire.
Once you defeat the elite four, the credits go,and you choose which one you want. unfortunatly,you can only get one per game, (unless you trade or cheat).
If you saw the news on latios/latias that means you have already defeated the elite four and now you can catch the latis, you can still beat the elite four if you want but for fun catch the latis then destroy the elite four with them.
First, you have to defeat the Pokemon league 10 times.Then, this guy in the Pokemon center at the Pokemon league will ask you what your favorite color is, red or blue. If you pick red you get Latias and if you pick blue you get Latios.
you must catch all Pokemon and defeat the elite 4.