Real Madrid's campaign came to an end last week with defeat at the hands of Manchester City in the last 16 of the Champions League.
The 2019-20 season will still be considered a successful one for Madrid thanks to their La Liga title triumph.
There is no doubt Zinedine Zidane will be keen to strengthen his squad, however, while a number of players could also be moved on.
Here, Sports Mole rounds up the latest news of possible comings and goings at the Bernabeu.
Tuesday morning's Real Madrid transfer talk news roundup:
Madrid are rumoured to have identified Juventus star Paulo Dybala as a marquee signing for this summer's transfer window.
The Argentina international fought his way back into Juve's first team to contribute 14 goals and eight assists in 2019-20.
According to Sport Mediaset, Madrid will now try to tempt the Italian champions into cashing in on Dybala, who has two years to run on his contract.
Zidane's hopes of bringing in a big-name player in the mould of Dybala may depend on his side's ability to find a bidder for James Rodriguez.
The Colombia international is unwanted by Zidane and, with less than 12 months to run on his contract, it seems a case of now or never to raise some money.
Le 10 Sport suggests that Paris Saint-Germain are eyeing up a deal for the 29-year-old, with talks at an early stage.
Rodriguez has amassed 37 goals from 125 appearances for Madrid since his arrival, but he has turned out just 14 times for them during the 2019-20 campaign.
Rodriguez is not the only Madrid player who has failed to win over boss Zidane, with Marca reporting that a mass overhaul can be expected in the coming weeks.
Luka Modric is a surprise name on the list of players Madrid are allegedly looking to offload in the hope of raising funds for some fresh blood.
Croatia international Modric has been with Madrid since 2014 and has won 17 trophies during his time at the club.
More transfer news from Real Madrid:
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