The centre-half was spotted on trial with Bullen’s side in April and impressed enough for Wednesday to make a firm contract offer.
All will not be plain sailing in confirming his signing, though, with Stoke City also thought to be in for the youngster having been on trial there after his Middlewood Road stint.
Several youngsters are set to leave the club at the end of their contracts and the club have set about bolstering their ranks.
Speaking at a charity match between former Wednesday players against Doncaster Rovers counterparts at the Keepmoat last weekend, Bullen said: “The latest thing on David is that he went and played a game at Stoke, but we’ve made a formal offer to him…
“We’re just waiting to hear back from David, and I think there has been a counter offer come back, but I don’t know exactly where we are with it.
“We’re not going to be throwing bucketloads of money about, especially at under-23 level…”
He also went on to praise the Southampton defender, saying, “I really liked what I saw, I thought there was big room for improvement, and I think that he plays the way that Darren Moore would like to play - and he’s also big, powerful and quick.
“We’d love to have him on board, but ultimately the decision is in their boat.”