The Germany international was officially left out of Jose Mourinho's 23-man squad because of an ankle injury, but the Sunday tabloid reports Ballack has agreed a whopping £135,000-a-week deal with the Galacticos.
The 30-year-old was linked with a move to Real just before the transfer window closed at the end of August, with Bernd Schuster confirming earlier this week that a deal had been close.
However, the Guardian reports Jose Mourinho will offer Ballack a final chance to resurrect his Chelsea career if the midfielder responds well to being left out of the club's Euro squad.