Luebke, a left-hander, had elbow reconstruction surgery in May of 2012. Wieland, a right-hander, had surgery in July of 2012.
Both are hoping to pitch in 2014, though they have had setbacks during their rehabilitation that have put them on the longer side of the typical 12-to-18 month window for recovery.
Luebke had his elbow examined by Dr. Timothy Kremchek in Cincinnati last month. After a setback in September that precipitated the visit with Kremchek, Luebke has yet to throw off a mound.
Wieland, 23, had a 4.55 ERA in 27 2/3 innings with the Padres in 2012 before he was shut down after sustaining his elbow injury.
Luebke, 28, had a 2.61 ERA in 31 innings to begin the 2012 season before sustaining his injury during a start against the Giants in May of 2012.
Layne, 28, spent most of 2013 with the Padres' Triple-A affiliate in Tucson, going 2-4 with a 4.50 ERA in 49 games. He had a 2.08 ERA in 8 2/3 innings with the Padres.
Hynes, 28, pitched with Double-A San Antonio, Tucson and then with the Padres last season. He had a 9.00 ERA in 17 innings with the Padres after posting a combined ERA of 1.52 in his two Minor League stops. The Padres took a long look at Hynes in the second half after the trading lefty specialist Joe Thatcher to the D-backs in the Ian Kennedy deal on July 31.
The Padres will hope to find a left-handed reliever before the start of Spring Training, either through trade or with a Minor League free agent.
Corey Brock is a reporter for MLB.com. Keep track of @FollowThePadres on Twitter. This story was not subject to the approval of Major League Baseball or its clubs.