Donnarumma recently spoke of his desire to remain in Milan.
Bellerin is said to be Ernesto Valvede's top target to bolster the right-back.
Mbappe scored 26 goals and assisted 14 to help Monaco win their first Ligue 1 title in 20 years.
However, Cadena Ser say that the official announcement could be delayed.
France international has agreed a new deal at the Vicente Calderon until 2022.
Griezmann's buyout clause has been kept unchanged at €100m.
Highly-rated Brazilian, whose current deal runs until 2022, insists his focus is "on the present".
Serie A giants will pay €38m plus a further €2m in add-ons to secure the services of Porto striker.
Real are looking to offload Rodriguez and Alvaro Morata in the summer transfer window.
Ernesto Valverde has earmarked the signing of a winger as a top priority.
Nacho, Marcelo and Dani Carvajal are also expected to put pen to paper on new lucrative contracts during the summer.
Spanish attacking midfielder is looking to earn a regular place in Zinedine Zidane's team next term.
Catalans would be ready to part ways with the former Arsenal defender.
United saw their £52.4m bid for Morata rejected by the Champions League winners.
Spain international says he wants to fight for his place at the Bernabeu.
Spurs have refused to increase their £2m offer to sign the Spanish U21 international on a permanent basis.
Reports in Spain are claiming the Argentine has agreed a three-year deal to continue at the Nou Camp.
Real Madrid duo face uncertain futures at the Santiago Bernabeu.
Ernesto Valverde believes Bellerin can be an ideal signing for Barcelona this summer.
Jose Mourinho gave Fabinho his Real Madrid debut when the duo were at Bernabeu.
Spanish reports have suggested Digne is one of five players on his way out of the Nou Camp.
Manchester United, Liverpool, Manchester City, PSG and Juventus all reportedly interested in the Brazilian.