El Shaarawy has been linked with Manchester City this summer.
"I will see El Shaarawy on Tuesday," vice-president Galliani told Sky Sport Italia.
As for Balotelli, he returned from international duty at the Confederations Cup with a thigh injury, so missed the semi-final with Spain.
"With Mario we certainly would've scored one more penalty in the shoot-out, so at this stage we could've been in the Final.
"I spoke to Mario and he is feeling better after treatment, as confirmed by the medical staff. In a few more days he can go on vacation."