Chelsea, making over 200 appearances in the top tier, and has become idolised by fans for the electricity he brings onto the pitch.
Kane has previously been linked with a move to Madrid. The midfielder's contract expires next summer but Arsenal boss Unai Emery is confident the 27-year-old will stay at the Emirates.
The La Liga giants have been relentlessly pursuing Courtois this summer, with the Belgian goalkeeper keen to return to the Spanish capital and Chelsea resigned to losing him.
On the U.S. tour they will have Borja Mayoral and Raul de Tomas, two strikers with potential but they are not yet ready for a prominent role in the team while Vinicius also is only 18 and a player for the future.
Ultimately, Sarri must feel he is up against it already and even if the club do some more business in the next few days, it's looking increasingly unlikely that the transfer window is going to work in their favour. Several marquee players were earmarked by Real Madrid but all of them resulted in major failures.
Hazard has lit up the Premier League since arriving from Ligue 1 side Lille for £31.5million in 2012 when he was widely regarded as one of the most exciting emerging talents on the continent.