Campbell was the subject of chants from supporters still aggrieved by the nature of his departure from White Hart Lane in 2001 to join London rivals Arsenal.
The defender's move on a free transfer was all the harder for Spurs fans to take given Campbell had repeatedly given assurances that he would not join the Gunners.
The 34-year-old later joined Portsmouth - again on a free transfer - but has continued to be targeted by Tottenham fans.
Portsmouth reported the alleged abuse at Fratton Park to the Football Association, who said it would issue life bans to any fan it could prove was connected.
Complaints from Portsmouth fans after the match were made to Hampshire Police, who initially said they could not take action due to the number of people involved.
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