The 22 year old is seen as an alternative to Yohan Cabaye and may perhaps turn out to be even better than the Newcastle man they want.
Guilavogui has already been capped at international level as well and would obviously fit the Arsenal transfer policy as he is French and has potential.
If they are to make a serious move for him, it will need to be done in the next few days with the window closing early next month.
The Gunners are in desperate need of reinforcements all over the pitch after ridding themselves of players who were surplus to requirements such as Marouane Chamakh, Gervinho, Andre Santos and Denilson being just a few of many during this window.