West Ham, Newcastle and Leicester are all said to be in talks with Juventus for the midfielder.
However, Sturaro is said to favour a move to the London Stadium, as he eyes a move to the Premier League.
West Ham have already made great strides this summer, bringing in some impressive targets, including Felipe Anderson.
And Sturaro could be on the verge of joining Anderson in making the move from Serie A to West Ham.
The 25-year-old has fallen out of favour at Juventus, with the Old Lady now reportedly said to be optimistic over doing a deal in the coming days.
Although it is not concluded that West Ham will get the £18 million man, they are said to be his first choice.
And that could be bad news for Newcastle and Leicester, as they also look to agree a deal for the Italian international.