However, she fled the island following a security scare when an alleged stalker was said to have gained entry to the property. The Gman believed to be a German national told police he did not realise it was private property he was entering.
It is the first time the couple have appeared together in public, since they were rumoured to have rekindled their romance earlier in the year.
Wearing a tight black vest top cut off at the stomach, tight black jeans and killer heels, the 23-year-old singer appeared delighted to be in the company of Brown, who laughed and giggled with her throughout the game, as photographers snapped photos of them.
The R&B rapper is still on probation for the beating he gave to Rihanna in 2009 following a pre Grammy party.
Rihanna at the time sustained sustained trauma to her face and body, including major contusions to both sides of her face, a split lip, swelling, bruising and a bloody nose.
Also on Christmas Day Rihanna posted a photo of herself with Brown, where she appears to be smoking, wearing the same clothes they wore to the basketball game, and the cryptic message:
"Santa baby! Hurry down the chimney tonight! Is it too late to be nice?"