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.
5. Kion Etete - Spurs
The Spurs youngster remains high up Danny Cowley's wanted list, with the 20-year-old ticking many boxes. The Blues would love to do a permanent deal for the 6'3' powerhouse. However, there's Championship interest in Etete as well, while Pompey might have to stump up more than the £300,000 valuation they have on the player. Etete has been training with the Spurs first team this week. He's waiting to see if he'll join the group on their pre-season trip to South Korea. Picture: Steve Bardens/Getty Images Photo: Steve Bardens
6. George Hirst - Leicester
Danny Cowley wants Hirst back at Fratton Park after his loan spell last season - so much so that he's begged the club to 'move heaven and earth' to land the 23-year-old. He's currently training with the Leicester first team in the hope of impressing Brendan Rodgers. Hirst is open to a Pompey return but if there's a chance to be involved in the Premier League next season, he's likely to take that. At present, only Rodgers knows if that will happen. In the meantime, Ipswich are also keen, having already placed a bid for Hirst. Photo: Robin Jones
7. Cauley Woodrow - Barnsley
One minute Pompey were being linked with a move for the Barnsley front man, the next he had signed for Luton for an undisclosed fee. Cowley admitted he would have loved to sign the striker but added there was no way he would have been able to fund a move. Picture: George Wood/Getty Images Photo: George Wood
8. Danny Hylton - Lutonm
The veteran striker was linked with a move to Pompey last month. However, it was a rumour which was quickly shot down by Danny Cowley, with the 33-year-old since moving to Northampton on a free transfer. Picture: Alex Burstow/Getty Images Photo: Alex Burstow