Eduoard spent last season on loan with Celtic, scoring 11 goals in 29 appearances as Celtic secured a second successive domestic treble.
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Rodgers says his players showed they have the mentality to handle the big games as they registered a 3-0 win over Aberdeen.
Simunovic tore his hamstring in September and although he returned to training, a reaction to the injury has ruled him out.
Rodgers's Celtic revolution has seen a stunning turnaround in the fortunes of the Parkhead club since Deila left.
Celtic return to action following the international break when they travel to take on Hamilton at New Douglas Park.
Rodgers admitted Celtic can't always play perfect football after the champions ground out a 1-0 win at Partick Thistle.
Hearts interim coach Daly was furious with Rodgers for his pre-match criticism of the departure of former Jambos boss Ian Cathro.