Baines has been heavily linked with a move to Old Trafford since David Moyes took over from Sir Alex Ferguson back in May.
Manchester United reportedly had two bids turned down for 29-year-old, and have been linked with making another move for him this month.
However the left-back is set to snub a move to Manchester United and put pen to paper on a new £75,000-per-week contract deal that will keep him at Goodison Park for the foreseeable future.
Now the reigning Premier League champions have turned their attention to landing Moreno according to the Mirror, but will face competition from Real Madrid, which ironically, could also free up Fabio Coentrao - another Manchester United target - for a move away from the Bernabeu.
Real Madrid have been heavily linked with the talented youngster, who won the U21 European Championships with Spain in the summer.