Paul Pogba is being heavily linked with Manchester United, who are willing to pay a record fee to bring him back to Old Trafford.
The Mirror suggest Arsenal are keeping tabs on Riyad Mahrez – despite Leicester boss Claudio Ranieri being desperate for him to stay at the King Power Stadium.
But which other big names have been linked with Premier League clubs?
And who is your team targetting this summer?
Check out our gallery above for more.
All targets taken from reports published this month.