The forward issued this statement on his Twitter account following the incident:
In addition, Liverpool's managing director, Ian Ayre, also released this statement on the club's official website:
Luis has made an unreserved apology for his actions today. His behaviour is not befitting of any player wearing a Liverpool shirt and Luis is aware that he has let himself and everyone associated with the club down. We will deal with the matter internally and await any action from the FA.
Sky Sports' Staff went on to report that Suarez would not be sold during this summer's transfer window:
Luis Suarez will not be sold this summer despite his latest on-field indiscretion - biting Chelsea's Branislav Ivanovic...
...But, according to Anfield managing director Ian Ayre, Suarez will remain a Liverpool player until the end of the long-term deal he signed last summer.
Asked whether the Uruguayan's actions would affect his Liverpool future, Ayre said: "Not at all. It affects his future in the sense that we have to work with him on his discipline - but Luis is a very important player to the club.'
'He's a very popular player with his team-mates. As we keep saying, he signed a new four-year contract last summer and we'd all love to see him here throughout that contract.'
Suarez was caught on video trying to bite Chelsea defenseman Branislav Ivanović, although he was not penalized by the referee during the match.
Here is a look at the incident courtesy of TheScore.com:
The star forward remained in the match and scored the game-tying goal in the 97th minute to earn a 2-2 draw.
According to Sky Sports, the FA will review the incident and dish out any punishment it sees fit.
This is not a first-time offense for Suarez, making things more complicated. In 2010, he was suspended for biting an opponent while playing for Ajax Amsterdam. Despite the fact that this took place in a separate league, his history could lead to a more severe penalty.
Suarez is an extremely talented player and currently leads the English Premier League with 23 goals. His header to tie Chelsea showed his unique skill while also having a huge impact on the EPL season.
In addition, he is a leader for the Uruguay national team and has seven goals in eight World Cup qualifying matches.
However, these types of incidents continue to happen, and they make him one of the more controversial athletes in the world.