The veteran Swedish striker has struggled to make an impact during a second spell at Manchester United and has emerged as a top target for the LA Galaxy. The Belgium global, 30, is out of contract at the end of the season and could leave on a free transfer.
The Mirror claim on their website that the European giants are keeping close tabs on the Belgian international's situation at the north London club, and Real have joined a hunt for his signing which includes Manchester City and Manchester United.
Los Blancos beat Paris Saint-Germain 3-1 at the Santiago Bernabeu on Wednesday to put them in the driving seat in their UEFA Champions League last-16 tie and keep alive Real's hopes of winning the tournament for a third consecutive season. Man City, Man United and Chelsea are also interested in signing the Belgian defender.
Juventus have enquired about Arsenal's English midfielder Jack Wilshere The 26-year-old's contract expires in the summer.
MAN CITY CLOSE TO FRED DEALThis has been coming for quite some time but The Times now claim that "Manchester City are close to completing a £50million deal for the Brazilian midfielder Fred", though of course he can not join until the summer. The 20-year-old has represented the Netherlands from the under-17 through to under-21 level.
Bergwijn has been capped by the Netherlands at youth levels, and has been tipped to break into the senior team soon.
Barcelona defender Samuel Umtiti wants the club to increase his salary to £5.3m a year - the same amount offered to him by Manchester United in January.