Schweinsteiger spent 17 years with the Bavarian club before apparently requesting a shock move to the Premier League at the start of last season.
However, the 32-year-old only started 13 league games for the Red Devils this season and reports have emerged suggesting new manager Jose Mourinho has no room for him in his squad, leading to suggestions he might return to Bayern.
While Rummenigge empathises with the Germany internationals plight at Old Trafford, he categorically denied they would be making any attempt to bring him back to the Bundesliga.
"I would like to remind you that one year ago Bastian Schweinsteiger asked me especially to provide him with the experience [to join United]," he told reporters.
"I regret that what is happening to him just now, but we have not entertained any thought of getting him back.
"It is not an easy time for him just now, but maybe it is also proof that we deal with issues a bit more humanely, a bit more fairly and with more respect here at Bayern than is the case in some of the other bigger clubs in Europe."