Suarez moved ahead of Ronaldo as the league's top scorer on 34 goals after netting four times, twice with penalties, in the space of 25 second-half minutes
Barcelona came through a testing local derby at Espanyol, winning 3-0 to cling to their slender lead at the top of La Liga after rivals Real Madrid had set the challenge by beating Valencia 2-1 in the earlier kick-off.
With the distraction of two individual scoring records safely out of the way, Barcelona forward Lionel Messi can turn his full focus on helping the club win the major silverware that eluded them last season.
Azeem Rafiq claimed 'institutional racism' at the club, which has not offered a response so far.
'They aren't machines, they are the best players in their position but they aren't unbeatable or unsurpassable.'
In a video, released on Thursday, Neymar thanked his famous former Argentine teammate and the Catalonian club for the wonder years.
Barcelona's star striker Messi is an alien who plays with us humans, says the Juventus 'keeper
La Liga leaders Barcelona were held to a 2-2 home draw by Celta Vigo on Saturday as their former assistant coach Juan Carlos Unzue dented the title hopes of the Catalans, who dropped points for the second game in a row for the first time this campaign.
Lionel Messi scored twice as La Liga champions Barcelona saw off a persistent Valencia side, who had Eliaquim Mangala sent off in the first half, to win 4-2 on Sunday and stay on the heels of leaders Real Madrid.
Barcelona's Lionel Messi broke free from Arsenal's shackles to score two late goals and put the Champions League holders on the brink of the quarter-finals with a clinical 2-0 victory at the Emirates Stadium on Tuesday.
Barcelona take a 32-match unbeaten run to Arsenal for the first leg of their Champions League last 16 tie on Tuesday as the Catalans continue their bid to become the first team to retain the trophy in 26 years.
France's chance against Argentina in the World Cup last 16 might be that Lionel Messi does not benefit from the same support with the national team than at Barcelona, his club team mate Samuel Umtiti said on Thursday.
Barcelona made a brisk start to the season with new coach Luis Enrique at the helm in place of Gerardo Martino and a host of additions to the squad, including midfielder Ivan Rakitic and goalkeeper Claudio Bravo.
Two late moments of Lionel Messi magic and a goal from Neymar helped Barcelona break the resistance of Bayern Munich in a pulsating 3-0 victory in their Champions League semi-final first leg at the Nou Camp on Wednesday.
Should the Portugal forward triumph, he will equal the record of his great rival and five-time winner Lionel Messi of Barcelona, who is also nominated.
Uruguay, with 3.3 million people, are into a quarter-final with Argentina's conquerors France after four straight wins including a stunning 2-1 knockout victory over Cristiano Ronaldo's Portugal.
Uruguay's Luis Suarez has been suspended for nine matches and banned for four months from any football-related activity for biting an opponent, during the World Cup match against Italy.
Barcelona retained the King's Cup with a 2-0 victory over Sevilla to complete a domestic double.
Antoine Griezmann scored two goals and provided two assists as Barcelona staged a stunning last-gasp comeback before beating Granada 5-3
Atletico Madrid took a giant step towards the La Liga title
Lionel Messi produced a vintage second-half performance to help Barcelona to a 4-1 win over local rivals Espanyol on Sunday which saw the champions cut the gap on La Liga leaders Real Madrid to three points.
Luis Suarez had the Barcelona fans chanting his name after he set up Lionel Messi to score the opening goal in their King's Cup semis.
Real's Cristiano Ronaldo will be going in search of his third consecutive World Player of the Year award
Barcelona seized control of their King's Cup quarter-final tie against Atletico Madrid when Lionel Messi followed up his saved penalty to score and secure a 1-0 first-leg victory at the Nou Camp on Wednesday.
Champions Barcelona suffered their second defeat in three matches in La Liga on Saturday, with Michael Krohn-Dehli scoring and setting up another goal in a 2-1 victory for Sevilla.
Barcelona's 16-year-old forward Ansu Fati continued his explosive start to life in the first team by scoring and providing an assist as the La Liga champions thrashed Valencia 5-2 on Saturday.
Manchester City striker Sergio Aguero has been ruled out for a month with a calf injury sustained in Saturday's 6-3 win over Arsenal, manager Manuel Pellegrini said on Monday.
Ansu Fati is the second-youngest player to represent the Catalan giants in La Liga aged 16 years and 298 days.
Barcelona manager Ernesto Valverde, who will lead the club for the first time in Saturday's pre-season match against Juventus, has dismissed speculation linking Neymar with a move to Paris Saint-Germain.
Real and Barca have won the title in 15 of the last 16 seasons, with Atletico breaking the duopoly in 2014.
Substitute Sergio Araujo struck a late equaliser as Las Palmas held Real Madrid to a 2-2 draw and left them with a one-point lead over Barcelona at the top of La Liga on Saturday.
Liverpool captain Steven Gerrard has criticised what he called FIFA's political decision not to include former team mate Luis Suarez on their shortlist for this year's Ballon d'Or award as the world's best footballer.
Lionel Messi netted his first hat-trick in 10 months as Barcelona swept aside struggling Granada 4-0 to climb above Atletico Madrid to the top of La Liga on Saturday.
Barcelona's Neymar struck twice to put the Spanish side in the Champions League final despite a 3-2 loss at Bayern Munich on Tuesday as they progressed 5-3 on aggregate and will face Real Madrid or Juventus next month.
Under the new system, half the votes would belong to the players and coaches of the world's 211 national teams and half to the public, who will take part via an online ballot, and selected media representatives.
Lionel Messi broke a Spanish hat-trick record and Luis Suarez struck twice as a rampant Barcelona took over top spot in La Liga with a 6-1 hammering of Rayo Vallecano on Sunday.
This time we're ready for Barca, says Man City's Nasri.
Barcelona's Lionel Messi was at the heart of another devastating attacking show.
Images from matches played across European leagues on Saturday
Luis Suarez said Barcelona have not given up on the Champions League despite a "difficult and painful" 4-0 drubbing by Paris St Germain in their last 16 tie this week.
