Once you are VWA Champion, defend your title for ten matches. Then you will havee a match with The Great Puma.
Easy running attacks
Due to the way the game handles the computer dodging a running attack, it is possible to always hit such a move on a CPU opponent. When you attempt a running attack on a CPU opponent, he will attempt to dodge it by moving up the screen (in other words, towards the north ropes). Obviously, if the CPU opponent is already as far up the screen as he can go, it will be impossible for him to dodge your running attacks. Therefore, to easily win a match, just keep him in that area and continually use running attacks.