Torres, who played at Cal Poly-San Luis Obispo, hit .322 with six home runs, 52 RBIs in a team-high 242 at-bats for the Mustangs, who were eliminated by Pepperdine in an NCAA Tournament regional last weekend.
In a 10-6 loss to the Waves in the regional final, Torres had two hits, including a home run, and knocked in three runs.
Torres had 19 doubles and seven home runs in 2013 and hit .333. At one point, he had an 18-game hitting streak.
Torres was recommended by Padres scout Brent Mayne, who spent 15 years catching in the big leagues.
"Torres is a physical, athletic right-handed-hitting slugger [from the] Carlos Quentin mold," Mayne said. "[He has] potential average power down the road, he's an average corner-outfield defender, average runner, plus arm and great makeup. He's a leader that plays hard with passion. [He's shown] consistent improvement every year since high school. He's a great addition to the Padres' organization."
The Draft concludes on Saturday, with exclusive coverage of Rounds 11-40 beginning on MLB.com at 10 a.m. PT.
Corey Brock is a reporter for MLB.com. Keep track of @FollowThePadres on Twitter. This story was not subject to the approval of Major League Baseball or its clubs.