[5] He is the brother of Australian international rugby league captain Greg Veivers.
His father, Jack, played rugby league for Souths and Queensland; his cousin, Mick Veivers, represented the Australia in the 1960s, and his cousin Tom Veivers played Test cricket for Australia.
He moved to St. Helens the same time fellow Australian and Souths teammate Mal Meninga did, but where Meninga returned to his homeland Veivers stayed in England after marrying and having children, only returning to Australia for holidays and visiting his family.
[7] After losing his job at Salford, Veivers served as assistant coach to the Exiles in the international origin series before finally landing a job at Workington Town in the Championship[8] Phil Veivers played fullback (replaced by substitute Roy Haggerty) in St. Helens 28–16 victory over Wigan in the 1984 Lancashire Cup Final during the 1984–85 season at Central Park, Wigan on Sunday 28 October 1984, played stand-off, and scored 2-tries in the 24–14 victory over Rochdale Hornets in the 1991 Lancashire Cup Final during the 1991–92 season at Wilderspool Stadium, Warrington on Sunday 20 October 1991, and played fullback (replaced by substitute Gus O'Donnell) in the 4–5 defeat by Wigan in the 1992 Lancashire Cup Final during the 1992–93 season at Knowsley Road, St. Helens on Sunday 18 October 1992.
[9] Phil Veivers played fullback in St. Helens' 15–14 victory over Leeds in the 1987–88 John Player Special Trophy Final during the 1987–88 season at Central Park, Wigan on Saturday 9 January 1988.