Klich hit a sublime 35-yard pass into the area that allowed Karol Swiderski to set up Jakub Swierczok to fire Poland ahead in the fourth minute against Russia.
Whites midfielder Klich produced a strong display throughout but Russia equalised 14 minutes later when Vyacheslav Karavaev squeezed a volley through Lukasz Fabianski's legs.
Klich was taken off with 20 minutes left and the friendly staged in Wroclaw finished up a 1-1 draw.
Alioski, meanwhile, played the full match for North Macedonia and provided the assist in a 1-1 draw at home to Slovenia.
Alioski's cross from the left flank in the 55th minute allowed Elif Elmas to volley home a deflected opener but Slovenia equalised in the seventh minute of stoppage time through Domen Crnigoj.
Crnigoj netted with his only shot on target as the fixture in Skopje ended all square. Alioski was also booked.
Poland will complete their build up to the Euros with Tuesday evening's home friendly against Iceland while North Macedonia will sign off with a friendly against visiting Kazakhstan on Friday evening.
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Thank you Laura Collins