Centre-half Thomas Vermaelen has been a revelation since his move from Ajax last year but lapses have cost the team as their title push faded towards the end of the campaign.
And Fulham's Brede Hangeland and Senegal defender Pape Diakhate are thought to be on Wenger's radar as he looks to shore up his shaky rearguard, although William Gallas could be on his way out of the club.
Gallas, 32, and fellow centre-backs Sol Campbell and Mikael Silvestre are all out of contract in June and Gunners chairman Peter Hill-Wood described Gallas's demands for a new contract as "quite extravagant".
"I don't think we are prepared to go along with it. We would very much like him to stay but I think for one year - and not on the money he wants," added Hill-Wood.
"He is a good player but you have got to draw the line somewhere.
I want to stay and I want to give it my all for at least another year
Arsenal defender Sol Campbell
"If he can get the money somewhere else, good luck to him. We still hope he will sign but if he doesn't, he doesn't."
Campbell, who will be 36 in September, returned to his old club during January on a short-term deal and impressed after stepping in to bolster an injury-hit rearguard.
Wenger is keen to keep the former England captain - who led Arsenal through their unbeaten campaign of 2003/2004 - to bring some much-needed experience and Campbell sees no reason why he should not be at the Emirates Stadium next season.
"I fancy staying, of course I do," Campbell told the club's official website. "I want to stay and I want to give it my all for at least another year. I could do two but the manager never gives out two.
"Give me one year and I will work every day and try to win a trophy and bring some kind of glory back to Arsenal.
"We will sit down, it has started, and we will try to thrash something out.
"The negotiations are either going to be done in a week or two or it might take until July - you just don't know how things will pan out.
"We will have to see how Arsene sees me at the club."
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