Despaigne has been battling all spring for the fifth spot with Brandon Morrow. Anderson, who was 9-7 with a 4.01 ERA in 21 starts last year for the D-backs, is still among the group hoping to grab one of the club's last two spots.
"They haven't said anything to me," Anderson said about his chances to land in the rotation. "They just told me to do the best I can. I'm just going to keep pitching. That's all you can do. It's going to come down to the wire, which I think is good for our team, our organization."
Both pitchers weren't particularly sharp on Thursday, although they both worked in and out of trouble into the sixth inning with the score tied, 1-1.
Yonder Alonso had three of the Padres' first six hits against Anderson, all of them singles. The lone early run for San Diego was scored on a Matt Kemp groundout during the third inning.
D-backs manager Chip Hale said that Anderson's contributions to last year's team would weigh almost as heavily as his three earned runs, four walks and 10 strikeouts in 14 2/3 innings this spring. Anderson worked six innings on Thursday, allowing a run on six hits with two walks and four strikeouts.
"It's huge what he did. Everybody recognizes that," Hale said. "I feel like I'm in a meeting with all our staff, because there are people who have said that and feel that we should think about that, and we have. Guys do well, and if you get upgrades, you get upgrades. But he's done nothing to show me that he's not worthy to be one of our five. He's fighting hard for it, and we're watching and we're seeing it."
Similarly, Despaigne had a good year for the Padres in 2014, logging a 4-7 record and 3.36 ERA in 16 starts after he was brought up from the Minors on June 23. He threw five innings on Thursday, allowing a run on seven hits with two walks and four strikeouts. A.J. Pollock knocked in the only run against him on an infield single.
"The results were good, but I thought he was a little spotty with his command," Padres manager Bud Black said of Despaigne. "But I liked the high fastball to some of their power hitters. He battled."
Pollock had two singles and two RBIs, driving home Arizona's second run in the sixth with a single to right off reliever Kevin Quackenbush.
Padres first baseman Brett Wallace tied the game with a two-run homer to send it to extras.
Trevor Cahill, another candidate for the D-backs' rotation, threw 5 2/3 innings in a Minor League game against the Reds, allowing four runs (all earned) on seven hits, one walk and six strikeouts.
"At this point in camp, I just get it, throw it and not think about it," Cahill said. "I was just trying to keep the ball on the ground. I didn't make too many mistakes. The ones I did, they hit, which is going to happen."
Up Next: The D-backs have split-squad action on Friday, with the Indians coming to Salt River Fields and Arizona traveling to Tempe Diablo Stadium to play the Angels. At Salt River Fields, projected Opening Night starter Josh Collmenter is slated to go against Tribe ace Corey Kluber. In Tempe, it's Archie Bradley -- still vying for a spot in the D-backs rotation -- against left-hander C.J. Wilson.