There will be “many more to come,” said the speedy Reese, who is only 5-foot-10, 170-pounds.
San Diego’s first-round pick, TCU cornerback Jason Verrett, had his first Division I interception at Qualcomm, against San Diego State in 2011.
Reese’s 21 touchdowns of 40 yards or more were an NCAA and Big 12 record.
“If he can get us a couple of those, it’d be pretty good,” coach Mike McCoy said.
After the draft ended, the Chargers signed 17 free agents.
Among them were fullback Chris Davis, who came up with one of college football’s most memorable plays on Nov. 30 when he returned a missed field goal 109 yards for a touchdown on the final play for a 34-28 win over the two-time defending national champion and then-No. 1 Alabama, and New Haven tight end Michael Flacco, younger brother of Baltimore quarterback Joe Flacco.
Carrethers’ last play in college was blocking the potential tying field goal as time expired to preserve the Red Wolves’ 23-20 win against Ball State in the GoDaddy Bowl.
General manager Tom Telesco said the 6-2, 330-pound Carrthers has “uncommon production” for a nose tackle, citing his 93 tackles, including eight for a loss, and four sacks last year.
“He has extraordinary athletic ability,” the GM said. “He’s got a real chance here.”
Telesco called Grice “a well-rounded back” and “a touchdown machine” who scored 39 times in two seasons with the Sun Devils.