The Gunners enjoyed a fine end to the 2014/15 season in which they emerged as outside Premier League title contenders and retained their FA Cup crown, but Arsene Wenger is thought to be aware that work needs to be done if his side are going to improve next time out.
Petr Cech has been signed to add a commanding presence in goal, but an area of concern is at left-back.
Nacho Monreal impressed at the back end of the campaign just gone, but he was by no means a starter for much of the season, while Kieran Gibbs has failed to cement the position as his own.
And it appears that Wenger is eyeing Kolasinac as a solution, with reports claiming the 22-year-old is a target.
The Bosnia & Herzegovina international is seen as one of Schalke’s more impressive young players and is comfortable at centre-back, as well as in his favoured role of the left side of the backline.