The 5-2 scoreline made it looked comfortable for Real Madrid, but Jose Mourinho's men were forced to do it the hard way against Real Mallorca.
Mallorca had travelled to Madrid in great form - having won both of their previous matches - and looked sharp in the early stages of Saturday's match against the reigning La Liga champions.
The home side, on the other hand, had also had a brilliant 2013 as the Cristiano Ronaldo-inspired Blancos were yet to disappoint in the league.
Both teams entered the game in fine form, which meant a really exciting match was on the cards as Mallorca took to the ancient stadium.
It was the away side, who were looking to escape the relegation zone, that drew first blood as Giovani Dos Santos’ delicious cross in the sixth-minute led to Madrid conceding a goal by Emilio Nsue Lopez.
However, Gonzalo Higuain levelled matters up in the 15th-minute as Luka Modric’s ball came off Pepe and fell into the path of the Argentina striker, who had the simple of task of tapping it into an open net.
The visitors was making the most out of their set-pieces and scored the second goal only six minutes after Higuain’s equaliser. Dos Santos was again involved in the build-up and this time it was Alfaro who provided the finishing touch.
Cristiano Ronaldo came closer to restoring parity on the 30-minute mark but was denied by the woodwork.
Madrid then hit top gear in the start of the second half, while the introduction of Mesut Ozil changed the outcome of the game.
It was Ronaldo, however, that scored the incredible leveller - heading magnificently past the Mallorca goalkeeper.
Two minutes later, Modric almost burst the net with a thunderbolt and put the home side in front for the first time in the game.
Madrid never looked back and a further three minutes later, Higuain scored his second to take the game beyond the visitors.
Karim Benzema came on as a substitute and also got on the scoresheet with a strike late in stoppage-time to complete a resounding win for the home side, whose La Liga hopes still look dead in the water.
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