You train a player, get a promotion (he loses 20% in every skill), then you train him again, get a promotion, train again... Just a few seasons, and he has 1% in some skills.
Actually, it is harder to get young players with skills on 1%, there is a special trick (upselling), but you need to have several teams with 2-3 levels difference. Low-level team buys a 3* player, trains him, sells to another team (the same manager) a few levels higher, so the player again becomes 3*, but his grey skills now lower. Then training and selling again to another team a few levels higher (the owner is the same manager). Repeat a few times, and you have your young mutant. Expensive, takes a lot of micro-control and detailed preparation, but 100% possible.