Real Madrid have already completed the signings of Aurelien Tchouameni from Monaco and Antonio Rudiger on a free transfer from Chelsea this summer.
Los Blancos president Florentino Perez has said that the club are not planning any further additions at this stage, but there is still expected to be plenty of movement before the end of the transfer window.
Here, Sports Mole provides a transfer roundup of the biggest stories involving Real Madrid, who won a La Liga and Champions League double last term.
REAL MADRID 'SET ASKING PRICE FOR MARCO ASENSIO'
Real Madrid have reportedly placed a £35m valuation on Marco Asensio amid the speculation surrounding the Spaniard's future at Bernabeu.
The attacker is believed to be available for transfer this summer, and a number of Premier League clubs, including Arsenal, Liverpool and Manchester United, have been linked with his services.
AC Milan are also said to be keen on the attacker, and according to AS, Real Madrid are looking for a fee in the region of £35m to sell him in the current market.
The report claims that Milan are currently at the head of the queue for the Spaniard, with Asensio unsure whether he would receive regular action if he made the move to the Premier League.
The 26-year-old scored 12 times and contributed two assists in 42 appearances for Real Madrid last term.
VINICIUS JUNIOR REJECTS PREMIER LEAGUE INTEREST IN FAVOUR OF BERNABEU STAY?
Vinicius Junior has reportedly turned down approaches from Chelsea, Man United and Liverpool, with the attacker on the verge of signing a new long-term deal at Real Madrid.
The Brazil international was in impressive form for his Spanish club during the 2021-22 campaign, scoring 22 goals and registering 20 assists in 52 appearances in all competitions.
According to Marca, Chelsea, Man United and Liverpool all recently made contact with Vinicius's camp, while Paris Saint-Germain are also believed to have been keen to sign him.
However, the report claims that the 21-year-old is only interested in staying at Real Madrid, with the South American on the verge of penning a new contract in the Spanish capital.
Vinicius scored 17 goals and registered 13 assists in 35 La Liga appearances last term, while he netted four times and provided seven assists in 13 Champions League outings.
TONI KROOS DECIDES AGAINST SIGNING NEW REAL MADRID DEAL?
Toni Kroos is reportedly not interested in signing a new contract at Real Madrid, which has attracted the attention of Man United.
The Germany international was again a key player for his Spanish club during the 2021-22 campaign, making 44 appearances in all competitions, contributing three goals and three assists.
The 32-year-old only has little over one year left to run on his contract at Bernabeu, though, and according to SER Deportivos, he is not interested in signing an extension.
The report claims that Real Madrid could now decide to sell the midfielder this summer rather than risk losing him on a free transfer at the end of next season.
Man United came close to signing Kroos from Bayern Munich in 2014 and could allegedly now reignite their interest.