The Toffees will pay £30 million - a club record - for the 23-year-old goalkeeper and then £23.6 million for the Dutch attacking midfielder.
Asked earlier this month if he was confident Barkley would remain at Everton beyond the summer, Koeman replied: 'No.
Following Sunderland's relegation from the Premier League, Pickford was a man in demand and the England under-21 man was always likely to move away from the Stadium of Light. Player had medical last weekend.
Manager Ronald Koeman stated numerous times during last season that the 23-year-old will be sold if he does not put pen to paper on a fresh deal.
New Zealand beats Oracle in America's Cup opener in Bermuda
In the second contest, the victor would earn a one point advantage heading into the America's Cup Match. For a few dramatic minutes, it looked like Spithill was going to salvage a split of Saturday's races.
Koeman was keen to add more productivity to his side this summer and Klaassen certainly fits the bill.
The report goes on to say that the Toffees triggered the £5.2m release clause in Sandro's contract and will make a formal announcement to confirm his signing in the next 48 hours.
The Senegal global scored 16 goals and contributed further with six assists in 34 appearances last season, and his performances have alerted numerous clubs across Europe. He has already captained Ajax for two seasons and that shows you the type of person he is.
"He's a player who is only 24 but has a lot of experience and is a leader on the pitch".