Ajax eye Van de Beek, Liverpool set to increase their offer for Lavia

The new Premier League season has finally got underway, and there was plenty of action off the pitch over the weekend as well.

Chelsea have finally agreed a British transfer record fee of £115m for Brighton midfielder Moises Caicedo, while Fred has left Manchester United to join Fenerbahce in a deal worth £13m.

And with the best part of three weeks to go until the transfer window closes, there are still deals to be done across Europe.

Who are the big names that could be on the move this week?

Here, Mail Sport takes a look at the latest news and transfer gossip on Monday.

Neymar is close to agreeing personal terms with Saudi Arabian side Al-Hilal. PSG have already accepted an offer for the forward, and he is edging nearer to a move to the Middle East. (ESPN)

Ajax weighing up a move to bring Manchester United midfielder Donny van de Beek back to the club. Van De Beek has had a difficult three-year spell in Manchester, and Ajax are interested in taking him back on loan. (The Sun)

Liverpool are set to match Chelsea's offer of £55m for Southampton midfielder Romeo Lavia. The Reds are keen to not miss out on two midfielders to Chelsea, and are expected to increase their bid after already having three offers knocked back by Southampton in recent weeks for Lavia. (TalkSPORT)

Benjamin Pavard is pushing to join Manchester United, despite the club having their first offer of £26m rejected by Bayern Munich. The Red Devils are looking to bring in defensive reinforcements after agreeing a deal with West Ham for Harry Maguire last week. (Mail Sport)

Tottenham are considering a move for Arsenal striker Folarin Balogun as they look to replace Harry Kane. Balogun is expected to leave the Emirates Stadium this summer, and did not make the squad for their opening game of the season against Nottingham Forest on Saturday. (Gazzetta dello Sport)

Liverpool, Bayern Munich and PSG are all showing interest in PSV Eindhoven's defensive midfielder Ibrahim Sangare. The 25-year-old Ivorian isvalued at around £32m by the Dutch club. (ESPN)

Al-Hilal have revived their interest in Fulham striker Aleksandar Mitrovic. The Saudi club have already had two bids rejected by the west London side this summer, but have not given up hope of getting a deal over the line. (Mail Sport)

Ajax have agreed a £12m with Middlesbrough for striker Chuka Akpom. The Dutch giants are set to beat Sheffield United and Lens to his signature, with Akpom expected to undergo his medical on Monday. (Mail Sport)

Everton are still keen on signing Leeds winger Wilfried Gnonto, after wrapping up a deal for his team-mate Jack Harrison. Gnonto has not featured in either of Leeds' last two matches as he closes in on a move away from Elland Road. (Mail Sport)