The 30-year-old left-back underwent ankle surgery in May and missed the final two games of the Barclays Premier League season as well as England's Euro 2016 qualifier in Slovenia.
Toffees boss Roberto Martinez revealed at the end of last season that Baines had been struggling with the problem for the past three years but said the surgery was "straightforward".
"Leighton Baines, Darron Gibson and Bryan Oviedo are missing from the squad (for Singapore), with the trio recovering from injuries which saw them miss the end of the 2014/15 campaign," the official Everton website said.
Gibson has a broken foot and Oviedo a broken toe but new signings Tom Cleverley and Gerard Deulofeu have been included in a 24-man squad.
Everton kick-off their pre-season fixtures at League One club Swindon on Saturday before travelling to the Far East to take part in the Barclays Asia Trophy.
Martinez's side will face Stoke on July 15 before a second game against either Arsenal or Singapore Select XI three days later.
Source : PA
Source: PA