I don't think real Madrid really needs to sign a new player in other to play very well in next season, they already have a lot of good players in the team the only thing they lack is team work and a good formation that will make the players function very well and I think that is what there New coach Xabi Alonso is doing, if you check they way they are now playing in the FIFA club world cup you will see that there's a much difference, and I believe from next season they will do more better.
Real Madrid is a great club and for last season I won't say they failed they played very well last season and where in a good position in the la Liga table and also tried in the champions League competition, the only thing that they failed to do last season was to defeat Barcelona in all the matches that Barcelona and Real Madrid played Barcelona won them and that was because they didn't play like team and if Xabi Alonso can make them play like a real team then they will become more stronger.
There are several positions that must be filled by new players, especially in defense and also the style of coach Xabi Alonso will be different so he wants players who fit the tactics he applies so I think Real Madrid management must realize that regardless of the many quality players that Real Madrid already has in its squad but not all of them fit the style of play applied by Xabi Alonso.
There is no evidence that Real Madrid can be better but everyone is optimistic that it will happen with the quality of their new coach Xabi Alonso and also some matches that have been shown in the Club World Cup but what must also be remembered is that Barcelona is also a team that has developed rapidly and maybe they can be stronger than last season so I believe there will be fierce competition between these two rivals next season for the La Liga title.