The names are released in groups of five throughout the day, with the full 30-player shortlist eventually being drawn up ahead of the awards ceremony in Paris on 3 December.
He is joined by the holder and five-time victor Ronaldo, who is included after facing an allegation of rape by a woman he met in Las Vegas in 2009, which the Juventus striker denies. Real Madrid's Luke Modric is in the running to be named the Ballon d'Or victor for 2018 after winning the FIFA Best award.
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Ronaldo played a key role in Real's Champions League triumph last season and scored a World Cup hat-trick for Portugal against Spain.
Chelsea and Belgium star Hazard is included after impressing for club and country throughout the a year ago, while Griezmann, a Europa League and World Cup victor with Atletico Madrid and France respectively, is one of the favourites for the award.
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The victor will be announced in Paris on 3 December with a women's victor awarded for the first time.
PSG's Mbappe appears a dead certainty for the newly-introduced Kopa Trophy, which rewards the best players under 21, and is voted on by previous Ballon d'Or winners. Kylian Mbappe, the Paris Saint-Germain striker who burst onto the global scene with his performances as France won the World Cup, is the favourite.
A total of 30 players will make up the shortlist for the award, which was won by Cristiano Ronaldo in 2017. The two Ballon d'Or Awards will be decided by an worldwide jury of journalists, with AS editor Alfredo Relaño again casting Spain's vote this year.
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