The transfer window remains open until October 5, meaning the Whites and their top-flight rivals have around three weeks to finalise incomings and outgoings.
As always, we’re sharing the latest rumours from around the top-flight – so scroll and click through the pages to see the latest news and gossip from around the web:
1. Burnley reject Tarkowski offer
Burnley have turned down an improved £30m from West Ham for defender James Tarkowski. (Various) Photo: Pool
2. Wilder confident in striker pursuit
Sheffield United boss Chris Wilder is "confident" of completing a deal for a striker after revealing he is currently in talks with one. (Various) Photo: PETER POWELL
3. Arsenal enquire about winger
Arsenal have enquired about Stephan El Shaarawy after Shanghai Shenhua granted him permission to join a European club on loan until January. (Gianluca Dimarzio) Photo: Claudio Villa
4. Reds table Thiago offer
Liverpool have tabled a £23m offer for Thiago Alcantara, however Bayern Munich want around £27.7m for the midfielder. (@cc_eckner via Daily Star) Photo: Gonzalo Arroyo Moreno
5. Man Utd lead Telles race
Manchester United are leading the race for Porto left-back Alex Telles, who is valued at £27.6m. Wolves are also keen. (A Bola via Sport Witness) Photo: MIGUEL RIOPA
6. Magpies bid turned down
Lille have turned down a fresh £32m bid from Newcastle United for midfielder Boubakary Soumare having tried to sign him in January. (@FabrizioRomano) Photo: ROMAIN LAFABREGUE