Ask BA: Should MLB Teams Be Allowed To Trade Draft Picks? Have a question?@firstname.lastname@example.org Q: How do you feel about trading draft picks? Do you think it would work?—Lonnie Hudson Smith @MrLonnieSmith A: In a small way, baseball has already dipped its toe into trading draft picks. Teams are allowed to trade competitive balance picks, which are the supplemental picks after the first and second rounds. The Padres recently acquired the Twins’ supplemental second-round pick (No. 74 overall) in the trade that offloaded veteran Phil Hughes and some of his salary.