Asofa-Solomona briefly trialled veganism, however found it did not work with his dietary requirements. Asofa-Solomona has, on multiple occasions, spoken of the influences his family has had on him throughout the years. In 2018, he stated that being able to provide for his family was one of the main perks of playing rugby league for the Melbourne Storm. Asofa-Solomona has several tattoos, notably two Samoan designs - one on his right leg and one covering his right forearm. He has stated that the flowers in his leg design are a tribute to his sisters and the women in his life.
