It would only become more of an uphill battle if Los Blancos are able to add Radamel Falcao to the equation.
They have been linked to the Colombian striker for most of the summer. He's coming off a campaign with Monaco that was cut short due to injury, and it doesn't sound like the Ligue 1 side is particularly interested in letting him go.
Stefan Coerts of Goal passed along comments club vice president Vadim Vasilyev made to French outlet L'Equipe. He stated no offers had been received from the La Liga powerhouse and they were fully expecting Falcao to stay for the new campaign.
Where will Falcao be when the summer transfer window closes?
"We have met several times with Real Madrid representatives [during talks for James Rodriguez's transfer], but we never even spoke about Falcao," Vasilyev said. "There has not been an offer and we are not in negotiations. The truth is that Falcao will play with Monaco again in 2014-15."
If that's true, Real will move ahead with Karim Benzema as the central forward in an attack that also features superstars Cristiano Ronaldo, Gareth Bale and James Rodriguez. In other words, nobody is going to feel bad for the reigning Champions League winners.
However, the rumors continue to persist despite those comments from Monaco.
Tom Conn of Inside Spanish Football provided remarks reporter Sid Lowe made during an interview on ESPN. He's confident a deal is eventually going to be completed during the current window:
I think the likelihood is that it (Falcao to Real Madrid) will happen this summer. I'd be very, very surprised if it doesn't happen, there seem to be one or two things still waiting to be confirmed before this deal goes ahead. To give you an example of a number of the reasons why we think this will happen, is that it's been talked about quite openly, albeit not publicly, around Real Madrid about where Falcao fits into the team, if and when the deal finally happens.
He also went on to say Manchester United were rebuffed when they asked about Falcao. His outlook is that Real are just trying to sort out a likely exit plan for Angel Di Maria before completing another high-profile summer signing.
Peter Quinn of WorldSoccerTalk is also of the belief an agreement will be reached:
Florentino Perez wants to make one more blockbuster move before the transfer window closes. That is why he will eventually lower his asking price to PSG and agree to sell Angel Di Maria to the French club.
Once that deal is done, then the transfer of Radamel Falcao to Real Madrid will be completed.
Di Maria is a special talent in his own right, but when you have a club with as much talent as Real, certain players are always going to be left out through no fault of their own. That looks like the situation with the Argentine at this point.
Another question mark is what type of deal it would be. The sides would have to decide whether to make it a straight transfer or a loan with the possibility to buy after the season.
"Falcao is set to leave Monaco on loan this summer and Liverpool looked into the possibility of taking him to Anfield as a short term replacement for Luis Suarez only to discover that, as expected, the 28-year-old has his heart set on signing for Real," he wrote.
So even though Monaco are publicly saying they expect Falcao to stay for at least one more season, the situation remains unsettled.
It's easy to understand why Real are interested. Despite the striker's oft-frustrating first campaign with Monaco, he was a major force during his time with Atletico Madrid. WhoScored provided an interesting stat to back that up:
Falcao: Despite leaving in 2013, only Lionel Messi & Cristiano Ronaldo have scored more La Liga goals in the last 3 seasons than Falcao (52)— WhoScored.com (@WhoScored) July 27, 2014
Ultimately, it sounds like there are numerous hurdles that must be crossed before a Falcao deal becomes reality.
Given the fact that there are only a couple of weeks left in the current window, the pace of negotiations better pick up if Real want to get a deal done.
For now, fans will have to keep dreaming about an attack featuring Ronaldo, Bale, James and Falcao. If there were ever a time when all four of those players were on the same club and in top form, opponents wouldn't have much of a chance to slow them down.
Whether Real Madrid can make it reality is one of the summer's top remaining storylines.