Carlo Ancelotti's side have already spent big on Jude Bellingham in the current market, with the England international arriving on a long-term deal from Borussia Dortmund.
Fran Garcia has also returned from Rayo Vallecano, while experienced striker Joselu has joined on loan from Espanyol to boost the team's forward options for the 2023-24 campaign.
Real Madrid are still light in the final third, though, with Marco Asensio, Mariano Diaz and Eden Hazard all leaving at the end of June, while Karim Benzema has also departed to move to Saudi Arabia.
Los Blancos have been linked with a move for Tottenham Hotspur centre-forward Harry Kane this summer, but a deal for the England international is thought to be unlikely due to the Premier League's asking price.
Manchester City's Erling Haaland is also a long-term target, but the Norway international will not be available for transfer this summer, while a deal for Paris Saint-Germain's Kylian Mbappe this year is thought to be unlikely, with a move to Bernabeu in 2024 a more probable outcome to the transfer saga.
According to SPORT, Real Madrid are still interested in signing a striker this summer and have identified Martinez as a possible acquisition.
The report claims that the Argentina international could potentially be available for around €70m (£59.9m), with Inter under pressure to make some sales this summer, which could also lead to Andre Onana moving to Manchester United.
Martinez was in excellent form for his Serie A club during the 2022-23 campaign, featuring on 57 occasions in all competitions, scoring 28 goals and registering 11 assists in the process.
The South American found the back of the net on 21 occasions in 38 Serie A appearances, in addition to contributing seven assists, while he managed three goals and three assists in 13 Champions League outings, with Inter reaching the final of the competition.
Martinez made the move to San Siro from Racing Club in July 2018, and he has represented Inter on 238 occasions, scoring 102 goals and registering 36 assists.
The forward still has another three years left to run on his contract in Milan, but his departure could open up the possibility of Romelu Lukaku re-signing on a permanent basis from Chelsea.
Martinez has also been linked with Chelsea and Man United, with both clubs looking to sign new forwards during this summer's transfer window.