Two whole months remain in which clubs can conduct their business but competition is fierce and some of Europe's hottest targets have already been snapped up.
Here, Press Association Sport looks at a few of the big names still available to English clubs.
In the last seven days it has emerged that Real Madrid and Spain centre-back Ramos has not yet signed an extension to a contract which expires in June 2017
Manchester United are reportedly considering submitting a near Â£30million bid for the services of a 29-year-old who has won the Primera Division, the Champions League, and the World Cup
If United are working feverishly towards bolstering their defence then Manchester City's priority lies in reinvigorating their midfield
Pogba is arguably the hottest property in Europe but the Juventus and France star is valued at a daunting Â£71million and is reportedly more interested in exploring a potential move to Barcelona
This combative yet skilful midfielder was a star of the recent European Under-21 Championship as Portugal reached the final before losing to Sweden
He had already caught the eye of the likes of Arsenal and Manchester City, though, and they will have to move quickly now his profile has been lifted by his exploits in the Czech Republic
The 81-cap Turkey international has been one of the driving forces behind Atletico Madrid's revival, winning La Liga with the capital club and finishing as a runner-up in the Champions League final
The 28-year-old midfielder is now open to leaving Spain and recent reports have linked the pass master with both Chelsea and Manchester United
Wolfsburg are determined to retain the services of a striker who scored 16 Bundesliga goals before cementing the Wolves' cup final victory over Borussia Dortmund with an emphatic header
Dost has been urged to snub strong interest from Newcastle, whose new coach Steve McClaren - formerly of FC Twente - knows all about the Dutchman's free-scoring days in the Eredivisie
While Newcastle plot their next approach for Dost, down the road Sunderland are said to be closing in on a new attacking threat of their own - Dynamo Kiev's Holland international Lens
The versatile 27-year-old was part of the Dutch squad which finished third at last year's World Cup and Black Cats boss Dick Advocaat knows him well from their time at PSV Eindhoven together
Source : PA