The 19-year-old has made an impressive start to the new season and his form has alerted Chelsea, who are keen to do a deal when the January transfer window opens.
Liverpool have already been linked with a move for the youngster, but Chelsea are said to be in the box seat and are willing to start the bidding at £24million.
Neves is under contract until 2019 so Porto are under no pressure to sell, but it is highly unlikely they will be able to turn down the kind of money that Chelsea will put on the table.
Juventus and Valencia are also said to be keen on the midfielder, but it is thought he would prefer a move to the Premier League, making Chelsea and Liverpool favourites.
Ki Sung-yueng has announced he is leaving relegated Swansea City at the end of his current contract this summer.
Mark Hughes felt 'flat' after Southampton's last-gasp defeat against Manchester City but happy to have guided the club to safety.
Darren Moore called on relegated West Brom to learn from the mistakes they have made this season even if he doesn't remain in charge.
Neymar claims he is 'a little tired' of consistent transfer talk linking him with a summer departure from Paris Saint-Germain.
Ernesto Valverde accused Barcelona of going 'to sleep' as they relinquished their unbeaten La Liga record with a 5-4 defeat at Levante.