The latest candidates, who are being revealed in alphabetical order, include Thibaut Courtois, 2017 victor Cristiano Ronaldo, Kevin De Bruyne, Roberto Firmino and Diego Godin.
Atletico Madrid striker Griezmann and PSG wonderkid Mbappe are seen as the Frenchmen with the best chance of individual glory, but Croatia midfielder Luka Modric is the favourite for the award after winning the Champions League with Real and leading his country to the final of Russian Federation 2018.
Salah enjoyed one of the finest debut campaigns in Reds history with 44 goals after signing from Roma in 2017, including a record tally of 32 in a 38-game Premier League season.
The winners will be announced at a ceremony in Paris on Monday December 3, with television coverage from 20:45 CET.
Wales forward Gareth Bale and England striker Harry Kane are among the nominees for the 2018 Ballon d'Or, BBC Sport reports.
Ronaldo, now at Juventus, won the Champions League for the third season in a row with Madrid, while De Bruyne inspired Manchester City's Premier League and EFL Cup double before a strong World Cup showing.
Liverpool's Brazilian forward Roberto Firmino and Uruguay's rugged defender Diego Godin of Atletico Madrid also got the nod.
Modric's worldwide team-mates Mario Mandzukic and Ivan Rakitic are also on the shortlist, as are Liverpool duo Mohamed Salah and Sadio Mane.
In another first, the best under-21 player will receive the Kopa Trophy. "The Ballon d'Or must be won by a French player".