Goebbert, who appeared in 51 games for the Padres last season, hit .235/.235/.412 in 16 games this spring. The 27-year-old first baseman/outfielder hit .218 with one homer and 10 RBIs during his limited time with San Diego last season.
Decker, meanwhile, spent all of last season at Triple-A El Paso, where he hit .261 with 27 home runs and 79 RBIs in 134 games.
As for Wallace, the corner infielder's reassignment comes despite an impressive spring campaign in which he hit .391/.440/.565 with a home run and six RBIs in 23 at-bats. Wallace signed a Minor League deal with the Padres this offseason after spending the past four seasons with the Astros.
"Those guys all -- to a man -- had good camps," Padres manager Bud Black said. "They moved around the diamond. They gave us quality plate appearances and productive at-bats. Those guys are veteran players who came into camp ready to play, ready to compete. But right now, for them, it's not their time to break camp with us."
The Padres still need to make 15 more cuts before Opening Day, and the bulk of those could come next Saturday when they scrimmage the Mexico City Diablos Rojos at Petco Park.
"There are a lot of things that we still need to accomplish up until then," Black said. "But that day will be a day where we do a lot of things to prepare for [Opening Day]."
Paul Casella is a reporter for MLB.com. This story was not subject to the approval of Major League Baseball or its clubs. AJ Cassavell
is a reporter for MLB.com. Follow him on Twitter @ajcassavell
This story was not subject to the approval of Major League Baseball or its clubs.