Portsmouth have admitted they're interested in Mark Viduka, Hermann Hreidarsson and Titus Bramble.
Harry Redknapp completed the signing of Sylvain Distin on Wednesday while also confirmed a deal to bring Sulley Muntari to the club was also close to being completed.
And now the Pompey boss claims one of his next targets could be Bramble who has been recently released after five years at Newcastle.
Redknapp said: "He's still a young player with plenty of potential and we will wait and see. He could be another outstanding free transfer."
Redknapp also admitted he has made an offer to Middlesbrough's out-of-contract Australian striker Viduka and added: "Mark will make up his own mind. He has plenty of offers but we are looking to improve all around. We will need more goals and we have the money available to spend. The chairman is ambitious."
And Charlton's Icelandic defender Hermann Hreidarsson is also in Redknapp's sights.
He said : "He is a player I like very much. West Ham, I heard, bid £2m for him not long ago and he's another one to watch out for."