Xcomp gives it 89%

Trade Pokemon via Wi-Fi with players from all over the world.
Another Wi-Fi feature can be found in the Pokemon Centres which only works with Friend Codes. Once you have one or more FCs registered, you can visit the Wi-Fi Club that’ll allow you to battle with any long distance friends that are online or trade with them. While you’re doing this, you can voice chat with them too.
On the other hand, there is also the Colosseum and Union Room which is also located in the Pokemon Centres but these are wireless link features only. As the name suggests, the Union Room allows up to 5 players to hang about together in a room. Here you can battle, trade, chat using messages, draw pictures or share records of the TV interviews you’ve been in in-game. Yes, if you speak to a reporter during your adventure, you get interviewed and are allowed to select a certain phrase to appear on TV. You can then view the interview to see what the reporter said about you.
For those thinking that anyone who got either versions of the game early will have a level advantage, there are actually level caps you can set if you want. There are also different types of battles if you choose to have a team battle such as Single Battle where you can only have one Pokemon each and Double Battle where you can have two each.
Finally, there is the Battle Tower where you can compete against other players in ranks. This works by downloading data for a specific room off the WFC servers. Your Pokemon are then capped at level 50 and your goal is to beat as many NPCs in the downloaded data as you can to earn a high rank and a place for your name in the WFC “Leader Boards”.
That’s about it for Wi-Fi so unfortunately, you can only battle people if you have their FCs.