Sadio Mane scored 12 goals in 38 competitive matches for Bayern Munich in the 2022-23 season.
The Saudi Pro League has become more aggressive in the transfer market in recent months.
The one-year deal will allow him to join Real Madrid for free in 2024.
Ronaldo is also Portugal's all-time top scorer with 123 goals so far.
The Frenchman was believed to be ready to sign an extension with Los Blancos before making the big money move.
Both Messi and Benzema are strongly being linked with clubs in the Saudi Pro League.
The Frenchman's contract with Real Madrid expires this summer.
Vinicius Junior was racially abused at the Mestalla by home fans on Sunday night.
Cristiano Ronaldo is currently contracted with Saudi Arabian club Al-Nassr.
Cristiano Ronaldo has netted 11 goals for Al-Nassr so far this season.
Ronaldo is still 20 goals ahead with 122, while Messi just scored his 102nd goal for Argentina.
Greenwood's career is still in limbo as United conduct an internal investigation on the accusations against him.
Kane netted his 54th goal for England in his 81st international appearance from the penalty spot in Naples after Declan Rice had fired the visitors into an early lead.
Cristiano Ronaldo scored 24 goals for Manchester United in the 2021-22 season.
Cristiano Ronaldo captained Portugal to a Euros title win in 2016.
Lionel Messi joined PSG from FC Barcelona in the summer of 2021.
Cristiano Ronaldo won the Player of the Month award in February at Saudi Pro League.
Cristiano Ronaldo has signed with Al-Nassr on a two-year contract.
Ronaldo is the highest paid footballer in the world, earning $200 million (£166m) a year.
Cristiano Ronaldo has been with Georgina Rodriguez since 2016.
The rape case was dismissed in June 2022 over "misconduct" by his accuser's attorney.
The couple moved to Saudi Arabia with their children after the Portuguese star joined AL-Nassr.