Wenger is now certain to strengthen his squad over the summer as he looks to claw back the 18-point gap on champions Manchester United.
However, just as important will be tying the future of 25-year-old van Persie to the club.
Wenger said: "We want to extend the contract of Robin. It is the priority to extend the contract of [Nicklas] Bendtner as well. The basic problem is to get round the table.
"We did that already a few times but we always got delayed afterwards. Robin wants to stay, he wants basically to stay. But he still has two years to go."
Wenger accepts some new personnel will have to be added but refused to make any snap judgments.
"After a dodgy start, in the last 23 games we lost just once, so the team is moving forwards," he said.
"The question we have to analyse now is are we strong enough like that to win the championship next year? If not, what do we need to add to the squad? That is the basic question we need to answer. There is some great quality here, that is for sure, the squad is very young, so it is about what is needed to be added next year to challenge for the championship."
Wenger added: "It is important not to go into conclusions today.
"I have to analyse well and then make decisions after."