According to 'Sky Sports', the 29-year-old faces tests after being injured in a clash with Chelsea's Jorginho. The player left Stamford Bridge in a protective boot.
A decision will also be made on whether Sigurdsson is fit to feature for Iceland's squad for upcoming games against Belgium and Qatar.
Iceland visit Belgium in the UEFA Nations League on Thursday before a friendly with Qatar on Monday.
Any injury would come at a frustrating time for Sigurdsson, who is in great form with the 'Toffees' with six goals in 13 appearances already this season.