Arnason has impressed in making 32 appearances for Aberdeen since joining the Reds last summer following his departure from Plymouth Argyle.
The Iceland international rejected a new contract back in January and Dons boss Craig Brown confirmed he would be planning for next season without Arnason.
But today 29-year-old Arnason has indicated that he sees a bright future at Pittodrie, and would like to start contract discussions again so that he can be part of it.
Last week, Arnason said: "I would love to stay because Aberdeen is a great city, I love the people and it's a brilliant club. But I am nearly 30 and this could be my last contract so I have to think of a lot of factors."