But two days after club owner Silvio Berlusconi had visited their training ground for a serious talk with the players, the Rossoneri put the setback behind them to dominate Juve all over the park.
Although Juve rallied in the second half Milan held on to secure a result which lifted them to eighth in the table.
The result relieved the huge pressure on coach Massimiliano Allegri, but the Milan coach admitted Robinho's 31st minute penalty had been fortunate.
FA investigationLondon: The Football Association announced that they have launched an investigation into reports of anti-Semitic abuse by West Ham United fans towards supporters of Tottenham Hotspur. On Sunday, Spurs beat West Ham 3-1 while Chelsea drew 0-0 with Manchester City.