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The Toffees winger returned for the Blues' Under-23s against Leicester on Monday and is set to feature for them tonight against Dinamo Zagreb.
Everton boss Sam Allardyce will then make a decision if he is ready to return to the first-team squad for the visit of Swansea.
Bolasie, a £28m signing from Crystal Palace, has not played since rupturing his knee ligaments in a draw with Manchester United on December 4 last year.
Allardyce said: "Yannick Bolasie is training and will probably play some part in a game tonight.
“We will see what happens with that and we may, depending on the whole team here, have a discussion as to whether that makes him available for selection on Monday night."