Richarlison becomes fourth summer signing for Spurs after Fraser Forster, Ivan Perisic and Yves Bissouma.
Palace look like having one of the toughest starts of any club as after the Gunners, they go to Anfield, host Aston Villa and then head to Manchester City.
Everton secured an important 1-0 win against Chelsea to get a breather away from relegation fight.
Things do not get any easier for Everton, with Chelsea up next at Goodison at the weekend.
Lookman came up the youth ranks at Charlton Athletic FC and featured for the England youth teams.
Cole and Lampard both played for England during their careers and were team-mates at Chelsea from 2006 to 2014.
Everton are 16th on the EPL log, just four points away from relegation zone.
As Chelsea’s manager, Lampard led the Blues in 84 matches in all competitions, won 44, drew 17 and lost 23.
Rooney’s ties to Everton run deep. He joined the club as a nine-year-old and made his first-team debut aged 16 in 2002.
Clubs will continue to conduct daily lateral flow tests (LFTs) on training days, but PCR tests will only be taken to confirm a positive lateral flow result.
