The pair started the evening rowing at the Set nightclub in Miami, reports The Mirror. Later, they were heard "shouting, screaming and fighting" in their hotel room.
"The screams and crashing from their room were heard all over the hotel," said a source.
One witness claimed that the duo had to be separated by security because they were "kicking and punching" each other.
"[Security] took pictures of their room for evidence - it was trashed with broken mirrors and debris everywhere," added the source.
Reports claim that the couple were also seen arguing at Miami Airport on New Year's Day.
A spokesperson for the pair confirmed that a quarrel took place but denied that they are ending their relationship.