The Houston Texans have selected two players in the supplemental draft in team history. However, it has been 15 years since they last selected anyone. In 2002, the Texans selected OG Milford Brown from Florida State in the 6th round. In 2003, they selected RB Tony Hollings out of Georgia Tech in the 2nd round.
Perhaps, the reason why the Texans haven’t selected anyone in the supplemental draft since them is that neither turned out great. Selecting players in the supplemental draft is always risky. A team forfeits a corresponding pick in the upcoming draft if they select a player in the supplemental. Most of the time, players in the supplemental draft have some sort of negative stigma attached to them.