Budde started playing Magic in 1994 when he learned about the game from fellow gamers. As a player from Cologne he quickly became acquainted with more experienced players from the city such as later Pro Tour winner Frank Adler. His rise to professional play coincided with that of Dirk Baberowski, another Magic player who had moved to Cologne. Being at a comparable level of playing, both worked together to qualify for the Pro Tour. Budde succeeded on his second attempt, thus qualifying for the . As he had not yet turned eighteen Kai chose to attend the Junior Division of the tournament, eventually finishing among the best 32. Afterwards, the Junior Pro Tour was discontinued and Budde was automatically qualified for the following Pro Tour in Mainz.