Here we look at some of the previous controversies surrounding the Uruguayan forward.
February 2007: Suarez made his international debut for Uruguay against Colombia but was sent off in the final minutes after being shown a second yellow card for dissent.
November 2007: Joined Ajax from Uruguayan side Nacional but he was later suspended by the Dutch giants after a half-time dressing-room altercation with team-mate Albert Luque.
July 2010: During the 2010 World Cup quarter-finals, Suarez prevented Ghana's Dominic Adiyiah from scoring in the final minute with a deliberate handball on the line and was subsequently sent off. A penalty was awarded but missed by Asamoah Gyan and footage showed Suarez celebrating on the sidelines. Uruguay eventually went through to the last four on penalties.
November 2010: Suarez was handed a seven-match ban by the Dutch FA and fined by his club for biting PSV Eindhoven midfielder Otman Bakkal during an Eredivisie match.
October 2011: Following his move to Liverpool in January 2011, he was involved in a tackle with Everton's Jack Rodwell and goes down with apparent minimal contact. Rodwell was then sent off.
October 2011: Suarez was alleged to have racially abused Manchester United's Patrice Evra during a Premier League match. Suarez was later found guilty by an independent regulatory commission and banned for eight matches and fined £40,000.
December 2011: Was seen making an offensive gesture towards Fulham fans. At this time he had already been charged by the Football Association over the racism incident, although not yet punished, but was handed a further one-match ban for the gesture.
February 2012: United and Liverpool met again at Old Trafford, but more controversy blew up as Suarez refused to shake Evra's hand before kick-off.
October 2012: Celebrated a goal against Everton by diving in front of Toffees boss David Moyes who had earlier claimed that "divers2 such as Suarez were putting fans off the English game.
January 2013: Handles the ball prior to scoring Liverpool's winner in the FA Cup third round tie at Mansfield.
April 2013: Appears to bite Branislav Ivanovic on the arm but escapes punishment on the pitch as the referee fails to see it, and scores Liverpool's equaliser seven minutes into stoppage time as they draw 2-2 with Chelsea at Anfield.