The Padres also recalled left-handed pitcher Wade LeBlanc from Tucson and reinstated utility man Eric Patterson from the 15-day disabled list.
Deduno threw two innings in relief on Saturday against the Dodgers and worked a total of three innings in two appearances, allowing one run on five hits with three walks and four strikeouts.
Hunter, who like Deduno made his first Opening Day roster, got his first Major League hit on Tuesday against the Cardinals.
LeBlanc was added to the roster on Sunday to give the Padres a long-relief option in the event that Sunday's starter, Aaron Harang, ran into trouble. The Padres' designated long reliever, Cory Luebke, threw four innings in relief Friday and wasn't available Sunday.
LeBlanc made one start with Tucson, allowing eight earned runs in 4 1/3 innings on Thursday in Colorado Springs.
LeBlanc didn't stay long, though. On Monday, he will be optioned back to Tucson when pitcher Mat Latos is added to the roster in time for his start against the Reds.
Patterson, who got the start Sunday in center field, will also be used occasionally at second base. Patterson began the season on the disabled list with a strained left hamstring. He played in two games with Class A Lake Elsinore, on Thursday and Friday.
"We want to get him involved," Padres manager Bud Black said. "We like his versatility and that he's able to play in the infield and can play all three outfield positions. He will be a valuable player for us moving forward."
Patterson had a strong spring for the Padres, in which he hit .438, had seven doubles, one triple and a home run in 15 games.
"He's got some sock from the left-hand side and can steal a base," Black said.