Everton took the lead in the second match in the Premier League Summer Series when they surprised familiar foes in West Ham Utd at Soldier Field, but gave up two goals in defensive blunders.
The Blues kick off their US tour with a friendly against Bournemouth in New Jersey on Saturday.
Everton continued their pre-season preparations this afternoon with a trip to Ewood Park to face Championship side Blackburn Rovers, who scored early while Moyes's men just could not score.
The first pre-season friendly ended in a draw on Tuesday evening at the Wham Stadium against Accrington Stanley after they made Everton work pretty hard in the wet conditions.