Metro reports that Madrid boss Carlo Ancelotti has told his scouts that Ramires is one of his targets for January.
Ancelotti is keen to bring in a new box-to-box midfielder and have been linked with a number of such players in recent weeks.
Ramires joined Chelsea when Ancelotti was in charge at Stamford Bridge and reports suggest the midfielder would be keen to link up with his former boss again.
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Liverpool have unveiled their new home kit for next season, sticking with the hugely popular retro styling of the current shirt.
The reputation of the Premier League means it is the most popular and one of the most watched leagues in the world.