Once Victory conditions have been met, you are ranked, awarded level EXP points and given a couple statistics pages to view.  Note: S-rank is the best while E-rank is the worst.  Also, you have a separate online and offline level.

The number of cards awarded to you depends on the rank or loss of your battle.  I've received as many as 9 cards for an S-rank victory, while a loss always results in a 2 card award.  In the example to the left, a C-rank victory yielded 6 cards.  Note: any new cards you win will be highlighted with a "NEW" on them.  Also, online Tournament wins are awarded with varying amounts of Meseta.