I try to clarify the problem I see. If we say there's a common perception it means that two people share the same thought (vijnapti), or that their thoughts are similar. It could be that that thought was given from one person to the other or it came from a third mind. Both for sharing and causing-receiving there's a need for some sort of connection between minds. That connection, however, is problematical because the identity of the mind-stream has to be maintained. If it is possible to directly influence another's mind there's a chance of mixing karma for instance, so it'd become possible for buddhas to liberate beings instantly.
"While teachers of the middle way, mind only, transcendent wisdom, mantra, and other schools may have their own assertions, the fulfillment of those intentions is the same. There is not a single thing that is not contained within mind."
(Gampopa to Düsum Khyenpa, in "The First Karmapa", KTD Pub, p254)
“If you recognize the world of appearance and existence as the mind, realize the mind itself as empty, and have no grasping at the superiority of your realizations — this is the ultimate view."
(Chegom Dzongpa, in "The Book of Kadam", Wisdom Pub, p609)