Gordon Banks is best known for a wonder save he produced to deny Brazilian great Pele in the 1970 World Cup.
The fee for the 26-year-old winger, the son of former Manchester United and England midfielder Paul Ince, could rise to 12 million Pounds.
After a decade in the top flight Stoke City were relegated from the Premier League after a 1-2 defeat to Crystal Palace
Christan Eriksen's wonder strike levelled in first-half stoppage time, before Alli took centre stage to end a barren run by his standards with two smart finishes just after the hour mark.
It took just nine minutes for Manchester City to carve open a Stoke side that is looking increasingly certain to suffer relegation this season.
Manchester United took time off from their pursuit of Arsenal forward Alexis Sanchez to coast to a comfortable 3-0 victory against Stoke at Old Trafford on Monday.
The club face Manchester United at Old Trafford in the Premier League on Monday.
Manchester City boss Pep Guardiola named a strong team including Sergio Aguero, Leroy Sane and Raheem Sterling at Eastlands.
Chelsea rested the likes of Eden Hazard and Cesc Fabregas for the Premier League match against Stoke City.
Though Harry Kane scored twice, Son was the star of the show, scoring one goal and having a say in four others
Brighton remain ninth in the Premier League standings, seven points above the relegation zone and three points above Mark Hughes's Stoke City, who stay in 15th.
Manchester City are the first team to net 29 goals in the first eight games of an English top-flight campaign since Everton in 1894-95.
Leicester's Shinji Okazaki sent Liverpool crashing out of the League Cup, while Tottenham edged past Barnsley to reach the fourth round on Tuesday.
Jamie Vardy scored the goal that effectively ensured Leicester City would remain in the Premier League as the outgoing champions won 1-0 away to West Bromwich Albion.
Chelsea provisionally opened a 13-point gap at the top of the table thanks to their 2-1 win over Stoke City while Arsenal suffered their fourth loss in five Premier League games.
Harry Kane scored a hat-trick, helping Tottenham Hotspur crush Stoke City 4-0 in the Premier League on Sunday.
Wayne Rooney surpassed Bobby Charlton's tally of 249 goals for Manchester United when he struck with a superb effort deep into stoppage-time at the Britannia Stadium.
Wayne Rooney's stunning free kick in the dying stages of Manchester United's Premier League clash against Stoke City saw him surpass Bobby Charlton's goal scoring record for the club