Belgium has Kevin De Bruyne and Eden Hazard on a shortlist completed by World Cup golden boot victor Harry Kane of England and Liverpool star Mohamed Salah.
World Cup winners, Antoine Griezmann and Raphael Varane, join global team-mate Mbappe on the list, and Golden Boot victor Harry Kane is also included.
The nominees for The Best FIFA Women's Player 2018: Lucy Bronze, Pernille Harder, Ada Hegerberg, Amandine Henry, Sam Kerr, Saki Kumagai, Dzsenifer Marozsan, Marta, Megan Rapinoe, Wendie Renard.
World Cup stars Kylian Mbappe and Luka Modric are among the contenders to end Cristiano Ronaldo's hold on FIFA's The Best Men's Player award after the shortlist was announced on Tuesday, but Neymar was not among the nominees.
Mbappe celebrates after France win the final of the FIFA 2018 World Cup
Ronaldo and Messi combined to win all the Best Player awards in the past decade since 2008, either when it was named FIFA Ballon d'Or due to merger of the FIFA World Player of the Year award and the Ballon d'Or, or the Best FIFA Men's Player after 2016, reports Xinhua news agency.
Once the shortlist has been revealed, national team captains, coaches, fans and journalists will be issued with their voting slips which they until August 10 to return. He became the first player to score 32 in a 38-game season, while also contributing a further 10 in Europe - while he won all the individual awards in England.
Four women and six men are competing to be the best coach in women's football.
The nominations include Asako Takakura, who guided Japan to the Women's Asian Cup title and Reynald Pedros, whose Olympique Lyonnais won a third consecutive Champions League and the French league title.
At the ceremony, Federation Internationale de Football Association will make awards to the best goalkeeper, the best goal, and a fan award.