The first 20 names from the 30-man shortlist have been announced, with Haaland just failing to break in at 11th, while Neymar is 16th and Harry Kane is down in 23rd.
Chelsea striker Romelu Lukaku, who led Inter to their first Serie A title in 10 years last season, is just behind Haaland in 12th, while Manchester United's Bruno Fernandes did not make the top 20, finishing joint-21st in the voting.
Of players from Europe's top five leagues, only Bayern Munich centre-forward and Ballon d'Or favourite Robert Lewandowski scored more goals in all competitions than Haaland's 38, which the Norway forward netted at a rapid rate of one every 87.66 minutes.
While the Borussia Dortmund sensation, who scored his 50th Bundesliga goal in as many games on Saturday, can count himself unlucky not to feature higher up on the list, the same cannot be said for Paris Saint-Germain star Neymar.
The Brazil forward, who finished third in 2015 and 2017, had an underwhelming, injury hit year in which he scored just 11 goals and recorded eight assists for PSG across all competitions, although he did reach the Copa America final with Brazil, losing out to club team-mate Lionel Messi.
Kane won the Premier League golden boot award in 2020-2021, and topped the assist charts before helping England to a Euro 2020 final.
However, Tottenham finished seventh in the Premier League and the England captain - who had a prospective move to Manchester City break down - has only a solitary top-flight strike to his name this term.
Lukaku recorded the same tally as Kane, but did help Inter to a first Serie A title in 10 years, while Fernandes, who split 21st place with Inter's Lautaro Martinez, hit one less, but did also record 17 assists for United.
Manchester City's Ruben Dias, Phil Foden, Riyad Mahrez and Raheem Sterling were placed joint-26th, 25th, 20th and 15th respectively, while 2018 Ballon d'Or winner Luka Modric was 29th alongside Cesar Azpilicueta.
The Chelsea captain's team-mate Mason Mount was 19th, with Luis Suarez 17th, the Uruguay forward having played a pivotal role in Atletico Madrid's LaLiga success last term.
Italy defenders Leonardo Bonucci and Giorgio Chiellini came 14th and 13th, with compatriot Nicolo Barella sharing 26th place with Dias and Villarreal's Gerard Moreno.
Barcelona youngster Pedri enjoyed a wonderful year, and was ranked at 24th.
The top 10 players: Lionel Messi, Robert Lewandowski, Cristiano Ronaldo, Mohamed Salah, Karim Benzema, Kevin De Bruyne, Gianluigi Donnarumma, Jorginho, N'Golo Kante and Kylian Mbappe.