Suarez returned to the starting line-up on Saturday following an eight-match suspension for racially abusing Patrice Evra, and refused to shake the hand of the defender prior to kick-off.
This encouraged widespread criticism of the 25-year-old striker, and Liverpool claimed Suarez misled them over his intentions to shake Evra's hand during the pre-match routine.
Suarez has since issued a statement apologising for his actions - or lack thereof - and Kenny Dalglish also did the same following a feisty post-match interview.
In the immediate aftermath of the weekend encounter at Old Trafford, Sir Alex Ferguson called on Liverpool to sell Suarez and there have been reports suggesting that the Uruguayan may well be offloaded.
However, according to the Liverpool Echo, the Anfield club do not want to get rid of Suarez, while it remains unclear if he faces any sanctions from his employers.