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6/30/2013 2:01 P.M. ET

Beachy feels good after bullpen session Sunday

ATLANTA -- Brandon Beachy threw a light 15-pitch bullpen session on Sunday morning after throwing 30 pitches in a side session on Saturday. The right-hander threw on back-to-back days ahead of the Braves' third off-day in eight days.

"It feels good," Beachy said. "I'm going to go out and play catch today, take an off-day tomorrow."

Beachy was headed for a June 18 return to the Braves rotation when he felt some inflammation in his elbow after his final rehab start for Triple-A Gwinnett. The team has not set a timetable for any additional rehab starts in the Minors or other steps in his return from Tommy John surgery.

"It wasn't a rush bullpen session because we have an off-day tomorrow," pitching coach Roger McDowell said. "It's just part of the process of hopefully getting back in there and getting things right."

Gonzalez OK with Hudson's frustrations following start

ATLANTA -- Fredi Gonzalez did not have a problem with the frustration Tim Hudson expressed in response to being pulled immediately after surrendering a game-tying, two-run home run in the sixth inning of Saturday's win over the D-backs.

"You don't want stuff like that out open in the press, but Huddy's a hell of a competitor," Gonzalez said. "He's one of the guys that in a battle, in a big game, you want him on the mound. So I'm fine with that."

Hudson was not pleased with Gonzalez's decision to remove him from after A.J. Pollock hit his 100th pitch over the center-field wall to tie the game. The 15-year veteran felt he had earned the right to at least attempt to record the final out and keep himself in line to record what would have been his first win since May 5.

The Braves veteran pitcher has compiled a 4.50 ERA while going winless in his past 10 starts.

"I would have liked the opportunity to have a decision," Hudson said after the Braves' 11-5 win. "A hundred pitches, to me is not really a magic number to take you out of the game. You work real hard the whole game. There's one pitch that a guy puts a good swing on, on a pitch away and ties the game up. Apparently, you need 16 years in the big leagues to get that chance."

"That doesn't bother me," Gonzalez said. "You don't want guys looking in [the dugout] every time, and through our careers, you've seen guys that way. Every time they throw a pitch, they're like, 'Hey, come get me. You got the guy warming up?' That's fine."

Hudson's four earned runs on Saturday were the most the right-hander had given up in June. He had compiled a 1.82 ERA in the previous five starts he had made this month.

"We have to make decisions," Gonzalez said. "Sometimes they're tough decisions, but you want guys that want to pick up the ball and want to be out there, you want position players that are a little beat up, but want to play. Those are the guys you really want, and then you have to make decisions according to that."

Worth noting

• Outfielder Jordan Schafer planned to try to run on Sunday for the first time since fouling a ball off his right ankle during Wednesday night's game in Kansas City, but he was not optimistic about the tenderness he felt in the area. Schafer said that he thought it was the hardest he's ever been hit with a foul ball.

"He's getting better, but he's still a little tender," Gonzalez said. "Maybe we don't have to use him today, that's three days and then Monday off, he could progress well for the next week."

• Evan Gattis thought he may be able to resume baseball activities as soon as Tuesday, but the Braves have not set a timetable for his return and won't until Gattis stops feeling soreness after stretching and rehabbing his strained right oblique.

Eric Single is an associate reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs.