Today, they were linked with a striker, but have reportedly been told they will have to pay more than £40million to land him.
That is just one of the stories to have made the headlines, with Chelsea, Liverpool and Manchester United among the other clubs to feature.
Arsenal and West Ham United have been told by Lyon that it will take £40million plus bonuses to persuade them to sell striker Alexandre Lacazette. (Daily Mirror)
Chelsea are battling Everton for the £30million signing of Sporting Lisbon midfielder William Carvalho. (Daily Mirror)
Liverpool have had a £33.5million bid rejected for Sporting Lisbon midfielder Joao Mario. (The Sun)
Paul Pogba's agent Mino Raiola has cancelled the Juventus midfielder's medical at Man United. (AS)
Arsenal and Tottenham Hotspur are both lining up moves for Toulouse forward Wissam Ben Yedder. (Canal+)
Manchester City are hoping to sign Schalke winger Leroy Sane and Palmeiras forward Gabriel Jesus for a combined fee of more than £60million. (Daily Telegraph)
Nemanja Matic is not for sale, Chelsea have warned interested club Juventus. (Daily Telegraph)
Arsenal and Liverpool are interested in signing Real Madrid striker Jese. (The Sun)
Premier League champions Leicester City have increased their offer for Cracovia striker Bartosz Kapustka to £5.2million. (The Times)
Borussia Dortmund have dismissed rumours linking striker Pierre-Emerick Aubameyang with Man City. (Bild)
Everton have met Aston Villa midfielder Idrissa Gueye's £7.1million release clause. (Birmingham Mail)
Besiktas want to sign Liverpool striker Mario Balotelli on loan. (Gazzetta dello Sport)
Blaise Matuidi - who is a target for Man United - has been told he can leave Paris Saint-Germain this summer for about £30million. (L'Equipe)
Norwich City have made a bid of up to £12million for Fulham striker Ross McCormack. (Daily Mail)
Liverpool midfielder Cameron Brannagan is still keen to go out on loan this season despite a proposed move to Wigan Athletic breaking down. (Liverpool Echo)
Meanwhile, it is relatively quiet on the transfer front at Newcastle United and Sunderland.