Last week saw Danny Ings agree to join Liverpool, Andre Ayew sign for Swansea City on a free transfer and Manchester United confirm the arrival of PSV Eindhoven winger Memphis Depay.
But the summer window is just getting started.
Here are fanatix’s five tips for transfers which could be completed this week…
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1. Roberto Firmino (Hoffenheim to Manchester United)
Reports last week claimed that United had agreed a £13.2m deal for the Brazilian, and agent has since confirmed that the Hoffenheim attacker will be moving to the Premier League this summer.
He is currently on Copa America duty, but Louis van Gaal is eager to conduct his business early and could find a way of getting this transfer done before reported admirers Liverpool enter the bidding.