The Norwegian international left Arsenal in 2010.
It is being reported by Sky Sports Deutschland that Arsenal could make a move to bring back a former player in the January market.
Norwegian international Havard Nordtveit is out of contract with Borussia Monchengladbach in the summer and could be moved on in the winter in order for the Bundesliga club to pick up a fee for the 25-year-old.
Nordtveit joined Arsenal in 2007 from Haugesund and went on to spend time on loan with Salamanca, Lillestrom and FC Nuremberg.
He left the club in December 2010, although Arsene Wenger was believed to not want him to depart the club but could not offer him first-team football.
He has since gone on to become an excellent defensive midfielder, despite being a centre-back during his time at Arsenal.
Arsenal need another option in the position with Francis Coquelin's injury.
The same report however claims that Arsenal are not alone in their pursuit of the player.
Everton and Leicester City are also said to be interested in signing the Norwegian. It remains to be seen whether the interest will be followed up in January or if he is a Bosman target for the summer.