The 23-year-old only left PSV Eindhoven for the Italian side over the summer after struggling to secure regular first-team football and has made a blistering start to life in the pink shirt with three goals in six Serie A outings.
And these performances have alerted a host of teams from across Europe, with West Ham and Southampton reportedly among the chasing pack.
The 23-year-old captained Sweden’s U-21s through their successful EURO 2015 campaign over the summer, during which he was often lauded for his commanding displays.
Both the Saints and the Hammers brought in midfield reinforcements over the summer, yet they are understood to be assessing the Scandinavian ace.
Hiljemark started his career in his homeland with Elfsborg before moving to PSV in 2013.
He made almost 50 league appearances for the Dutch side, but found it difficult to hold down a starting berth.