Accrington’s Colby Bishop and Cardiff’s James Collins were the latest names added to that list this week.
And while there’s hope a deal can be struck for the former, Pompey are already giving up hope of bringing the latter to Fratton Park.
But what about those other attackers rumoured to be on the Blues’ radar?
What’s happened to those prospective moves? Where are those players now?
Well, we’ve revisited them all to find out whether they can still come true, whether they’ve been consigned to the rumour mill bin or whether other clubs have since come in to ruin the Blues’ plans.
13. Aiden O'Brien - Pompey
Danny Cowley wanted the former Sunderland front man to stay, O'Brien wanted to stay but no agreement was ever reached. The Irishman signed for League One rivals Shrewsbury on June 30. Photo: Malcolm Bryce
14. Alfie Rutherford - Dorking Wanderers
Despite Danny Cowley having huge admiration for the former Blues youngster, he admitted rumours of a move for the prolific non-league striker were wide of the mark. Rutherford has since also reaffirmed his commitment to Dorking. Picture: Dave Haines Photo: Dave Haines 07708 405508
15. Sam Smith - Cambridge United
Smith was linked with a move to Pompey last week after netting 21 times in 57 outings for Mark Bonner’s side last term. Cowley has since denied the rumour that claimed the Blues were in a battle with MK Dons for the 24-year-old. Wycombe have also been linked. Picture: Pete Norton/Getty Images Photo: Pete Norton
16. Colby Bishop - Accrington
Pompey are definitely interested in the 25-year-old who bagged 15 goals for Accrington last season. The Blues are willing to pay cash as well, although expect Accrington to play hardball. Photo: James Chance