Reference:
Audio Tape: Taking Advantage of the Last Ten Days of Ramadaan
Is it permissible for us to invite non-Muslims to the ‘Eed celebration so that they may witness the great gathering of Muslims and so that we may call them to Allaah and educate them about Islaam?
There is no problem in interacting with non-Muslims, mixing and being beneficent to them, because this is an encouragement for them [to embrace Islaam].
Non Muslims at the time of the Messenger, صلى الله عليه وسلم, used to enter his Masjid and sit with him, so there is no harm in any of this.