Second-half goals from Joselu, Brahim Diaz and Rodrygo saw Real Madrid into the last 16 of the Copa del Rey with a 3-1 win over fourth-tier Arandina.

Although the final score looked comfortable, Madrid had to be patient against their lowly opponents, who were able to celebrate getting on the scoresheet with a late own goal from Nacho.

Unsurprisingly, Madrid dominated in every department but they had to wait for a 54th-minute penalty from Joselu to break the deadlock, with Diaz adding another just a minute later as Arandina’s resistance finally cracked.

Rodrygo then added a third in the first minute of stoppage time, but Madrid then blotted their copy book with the own goal allowing the hosts to celebrate before the end.

It was pretty much one-way traffic at El Montecillo throughout the night as Madrid enjoyed 78 per cent possession and had 15 attempts on goal to Arandina’s two.

But the hosts should still take credit for how difficult they made it for their illustrious opponents to score as they defended in numbers and made a series of blocks.

Arda Guler had already been the first to draw a save from Adrian Alvarez before then hitting a post with a free-kick in the 18th minute, but more often than not it was the Arandina defenders who got a foot in before Madrid’s attempts could find their way to goal.

But things changed eight minutes into the second half when Zazu fouled Diaz in the box, giving Joselu an opportunity from the spot that he did not pass up.

Arandina barely had time to gather their thoughts before Diaz doubled the lead, but it did not signal the opening of the floodgates.

A string of substitutions interrupted the flow of the game and allowed Arandina to regroup.

Madrid did have chances to add to their lead, but young Vinicius Tobias had a shot saved before Alvaro Rodriguez headed over from close range.

Having won the penalty and scored the second, Diaz then added an assist to his night’s achievements as he set up Rodrygo’s stoppage-time strike.

Arandina responded by going close through Kevin Manzano before Nacho put through his own net at the death.

Lucas Vazquez scored a stoppage-time winner for 10-man Real Madrid against Alaves to send Carlo Ancelotti’s men to the top of the LaLiga table for Christmas.

Girona’s draw earlier in the evening meant Real knew victory would be enough to see them leapfrog the Catalan side but they played most of the second half with 10 men after Nacho was sent off.

The game appeared to be heading for a goalless draw but Vazquez headed in a corner two minutes into injury time to seal a 1-0 victory.

The Real players came out of the tunnel in tops showing support for their team-mate David Alaba, who became the third Madrid player this season to rupture his anterior cruciate ligament in last weekend’s victory over Villarreal.

Real have been badly hit by injuries and Ancelotti was limited in his options, although he brought back Kepa Arrizabalaga in goal.

Alaves were without a win or a goal in their previous three LaLiga matches and again started with teenage forward Samu Omorodion, who is on loan from Atletico Madrid.

Real immediately cut through the home side, with Jude Bellingham playing in Brahim Diaz, who drove towards the box before teeing up Federico Valverde for a shot from a tight angle that was saved by Antonio Sivera.

Alaves showed good intent with the ball, though, and they created a clear opportunity in the eighth minute but Luis Rioja’s shot from the middle of the box was blocked by Fran Garcia.

An 18th-minute free-kick from Toni Kroos evaded all of his team-mates and dropped just wide of the far post, while at the other end Samu headed straight at Kepa.

Real were struggling to create anything clear-cut and Sivera beat away a fierce shot from outside the box from Valverde seven minutes before the break.

The visitors’ hopes of forcing a victory were dealt a major blow nine minutes after the break when Nacho was shown a straight red card.

The defender went into a tackle from behind on Samu and raked his studs down the youngster’s calf.

The referee initially gave a yellow card but was sent to have a look on the pitchside monitor by the VAR officials and changed his decision, with Ancelotti reacting by sending on Aurelien Tchouameni for Luka Modric.

Despite their numerical disadvantage, Real looked the side more likely to find a winner, and Rodrygo came close in the 75th minute, breaking away down the left and cutting inside but driving his shot high and wide.

When it did finally come, the breakthrough was from an unlikely source, with one of their smallest players, Vazquez, left alone in the middle of the box to head in Kroos’ cross.