The Lazio midfielder flourished at the Confederations Cup for Italy, impressing particularly against Spain in the semi-final.
The tireless runner was an ever-present for Lazio last season, making 35 Serie 'A' appearances as his side finished the campaign in seventh.
And his strong performances in the Confederations Cup in Brazil have attracted attention from big clubs across Europe.
The Premier League interest is led by Manchester United, with Spurs and City also tracking the 26-year-old.
But the likes of Borussia Dortmund, AC Milan and Napoli are also credited with interest by Italian newspaper Il Tempo.
Candreva scored six and provided five assists in the league last season, and the attacking midfielder was one of the club's most consistent players - along with Brazil international Hernanes.
David Moyes is expected to strengthen his midfield options this summer, with Paul Scholes retired and Darren Fletcher a long-term fitness concern.
The Premier League champions have been linked with a number of high quality central midfielders, including PSV's Kevin Strootman and Barcelona star Thiago Alcantara.
Tottenham also have been tipped to reinforce their midfield, although Corinthians and Brazil international Paulinho appears to have clinched a move to White Hart Lane.
He would be the second big-name Brazilian to join the Premier League after Fernandinho swapped Shakhtar Donetsk for Manchester City.